How to find an angle in a pentagon - Math
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What is the interior angle measure of any regular pentagon?
What is the interior angle measure of any regular pentagon?
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To find the angle of any regular polygon you find the number of sides 
. For a pentagon, 
.
You then subtract 2 from the number of sides yielding 3.
Take 3 and multiply it by 180 degrees to yield the total number of degrees in the regular pentagon. 
Then to find one individual angle we divide 540 by the total number of angles 5, 
The answer is 
.
To find the angle of any regular polygon you find the number of sides
You then subtract 2 from the number of sides yielding 3.
Take 3 and multiply it by 180 degrees to yield the total number of degrees in the regular pentagon.
Then to find one individual angle we divide 540 by the total number of angles 5,
The answer is
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What is the measure of each interior angle of a regular pentagon?
What is the measure of each interior angle of a regular pentagon?
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The following equation can be used to determine the measure of an interior angle of a regular polygon, where 
equals the number of sides.
In a pentagon, 
.
Now we can solve for the angle.
The following equation can be used to determine the measure of an interior angle of a regular polygon, where
In a pentagon,
Now we can solve for the angle.
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Find the interior angle of the following regular pentagon:
Find the interior angle of the following regular pentagon:
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The formula for the sum of the interior angles of a polygon is
,
where 
is the number of sides in the polygon
Plugging in our values, we get:
Dividing the sum of the interior angles by the number of angles in the polygon, we get the value for each interior angle:
The formula for the sum of the interior angles of a polygon is
where
Plugging in our values, we get:
Dividing the sum of the interior angles by the number of angles in the polygon, we get the value for each interior angle:
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What is the measure of an interior angle of a regular pentagon?
What is the measure of an interior angle of a regular pentagon?
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The measure of an interior angle of a regular polygon can be determined using the following equation, where 
equals the number of sides:
The measure of an interior angle of a regular polygon can be determined using the following equation, where
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The angles at 3 verticies of a pentagon are 60, 80 and 100. Which of the following could NOT be the measures of the other 2 angles?
The angles at 3 verticies of a pentagon are 60, 80 and 100. Which of the following could NOT be the measures of the other 2 angles?
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The sum of the angles in a polygon is
For a pentagon, this equals 540. Since the first 3 angles add up to 240, the remaining 2 angles must add up to 
The sum of the angles in a polygon is
For a pentagon, this equals 540. Since the first 3 angles add up to 240, the remaining 2 angles must add up to
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What is the sum of three angles in a hexagon if the perimeter of the hexagon is 
?
What is the sum of three angles in a hexagon if the perimeter of the hexagon is
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The perimeter in this question is irrelevant. Use the interior angle formula to determine the total sum of the angles in a hexagon.
There are six interior angles in a hexagon.
Each angle will be a sixth of the total angle.
Therefore, the sum of three angles in a hexagon is:
The perimeter in this question is irrelevant. Use the interior angle formula to determine the total sum of the angles in a hexagon.
There are six interior angles in a hexagon.
Each angle will be a sixth of the total angle.
Therefore, the sum of three angles in a hexagon is:
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Add four interior angles in a regular pentagon. What is the result?
Add four interior angles in a regular pentagon. What is the result?
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Use the interior angle formula to find the total sum of angles in a pentagon.
for a pentagon, so substitute this value into the equation and solve:
Divide this number by 5, since there are five interior angles.
The sum of four interior angles in a regular pentagon is:
Use the interior angle formula to find the total sum of angles in a pentagon.
Divide this number by 5, since there are five interior angles.
The sum of four interior angles in a regular pentagon is:
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What is the sum of two interior angles of a regular pentagon if the perimeter is 6?
What is the sum of two interior angles of a regular pentagon if the perimeter is 6?
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The perimeter of a regular pentagon has no effect on the interior angles of the pentagon.
Use the following formula to solve for the sum of all interior angles in the pentagon.
Since there are 5 sides in a pentagon, substitute the side length 
.
Divide this by 5 to determine the value of each angle, and then multiply by 2 to determine the sum of 2 interior angles.
The sum of 2 interior angles of a pentagon is 
.
The perimeter of a regular pentagon has no effect on the interior angles of the pentagon.
Use the following formula to solve for the sum of all interior angles in the pentagon.
Since there are 5 sides in a pentagon, substitute the side length
Divide this by 5 to determine the value of each angle, and then multiply by 2 to determine the sum of 2 interior angles.
The sum of 2 interior angles of a pentagon is
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Let the area of a regular pentagon be 
. What is the value of an interior angle?
Let the area of a regular pentagon be
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Area has no effect on the value of the interior angles of a pentagon. To find the sum of all angles of a pentagon, use the following formula, where 
is the number of sides:
There are 5 sides in a pentagon.
Divide this number by 5 to determine the value of each angle.
Area has no effect on the value of the interior angles of a pentagon. To find the sum of all angles of a pentagon, use the following formula, where
There are 5 sides in a pentagon.
Divide this number by 5 to determine the value of each angle.
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Suppose an interior angle of a regular pentagon is 
. What is 
?
Suppose an interior angle of a regular pentagon is
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The pentagon has 5 sides. To find the value of the interior angle of a pentagon, use the following formula to find the sum of all interior angles.
Substitute 
.
Divide this number by 5 to determine the value of each interior angle.
Every interior angle is 108 degrees. The problem states that an interior angle is 
. Set these two values equal to each other and solve for 
.
The pentagon has 5 sides. To find the value of the interior angle of a pentagon, use the following formula to find the sum of all interior angles.
Substitute
Divide this number by 5 to determine the value of each interior angle.
Every interior angle is 108 degrees. The problem states that an interior angle is
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True or false: Each of the five angles of a regular pentagon measures 
.
True or false: Each of the five angles of a regular pentagon measures
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A regular polygon with 
sides has 
congruent angles, each of which measures
Setting 
, the common angle measure can be calculated to be
The statement is therefore false.
A regular polygon with
Setting
The statement is therefore false.
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True or false: Each of the exterior angles of a regular pentagon measures 
.
True or false: Each of the exterior angles of a regular pentagon measures
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If one exterior angle is taken at each vertex of any polygon, and their measures are added, the sum is 
. Each exterior angle of a regular pentagon has the same measure, so if we let 
be that common measure, then
Solve for 
:
The statement is true.
If one exterior angle is taken at each vertex of any polygon, and their measures are added, the sum is
Solve for
The statement is true.
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Given: Pentagon 
.
True, false, or undetermined: Pentagon 
is regular.
Given: Pentagon
True, false, or undetermined: Pentagon
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Suppose Pentagon 
is regular. Each angle of a regular polygon of 
sides has measure
A pentagon has 5 sides, so set 
; each angle of the regular hexagon has measure
Since one angle is given to be of measure 
, the pentagon might be regular - but without knowing more, it cannot be determined for certain. Therefore, the correct choice is "undetermined".
Suppose Pentagon
A pentagon has 5 sides, so set
Since one angle is given to be of measure
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The angles at 3 verticies of a pentagon are 60, 80 and 100. Which of the following could NOT be the measures of the other 2 angles?
The angles at 3 verticies of a pentagon are 60, 80 and 100. Which of the following could NOT be the measures of the other 2 angles?
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The sum of the angles in a polygon is
For a pentagon, this equals 540. Since the first 3 angles add up to 240, the remaining 2 angles must add up to
The sum of the angles in a polygon is
For a pentagon, this equals 540. Since the first 3 angles add up to 240, the remaining 2 angles must add up to
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What is the sum of three angles in a hexagon if the perimeter of the hexagon is ?
What is the sum of three angles in a hexagon if the perimeter of the hexagon is
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The perimeter in this question is irrelevant. Use the interior angle formula to determine the total sum of the angles in a hexagon.
There are six interior angles in a hexagon.
Each angle will be a sixth of the total angle.
Therefore, the sum of three angles in a hexagon is:
The perimeter in this question is irrelevant. Use the interior angle formula to determine the total sum of the angles in a hexagon.
There are six interior angles in a hexagon.
Each angle will be a sixth of the total angle.
Therefore, the sum of three angles in a hexagon is:
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Add four interior angles in a regular pentagon. What is the result?
Add four interior angles in a regular pentagon. What is the result?
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Use the interior angle formula to find the total sum of angles in a pentagon.
for a pentagon, so substitute this value into the equation and solve:
Divide this number by 5, since there are five interior angles.
The sum of four interior angles in a regular pentagon is:
Use the interior angle formula to find the total sum of angles in a pentagon.
Divide this number by 5, since there are five interior angles.
The sum of four interior angles in a regular pentagon is:
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What is the sum of two interior angles of a regular pentagon if the perimeter is 6?
What is the sum of two interior angles of a regular pentagon if the perimeter is 6?
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The perimeter of a regular pentagon has no effect on the interior angles of the pentagon.
Use the following formula to solve for the sum of all interior angles in the pentagon.
Since there are 5 sides in a pentagon, substitute the side length .
Divide this by 5 to determine the value of each angle, and then multiply by 2 to determine the sum of 2 interior angles.
The sum of 2 interior angles of a pentagon is .
The perimeter of a regular pentagon has no effect on the interior angles of the pentagon.
Use the following formula to solve for the sum of all interior angles in the pentagon.
Since there are 5 sides in a pentagon, substitute the side length
Divide this by 5 to determine the value of each angle, and then multiply by 2 to determine the sum of 2 interior angles.
The sum of 2 interior angles of a pentagon is
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Let the area of a regular pentagon be . What is the value of an interior angle?
Let the area of a regular pentagon be
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Area has no effect on the value of the interior angles of a pentagon. To find the sum of all angles of a pentagon, use the following formula, where is the number of sides:
There are 5 sides in a pentagon.
Divide this number by 5 to determine the value of each angle.
Area has no effect on the value of the interior angles of a pentagon. To find the sum of all angles of a pentagon, use the following formula, where
There are 5 sides in a pentagon.
Divide this number by 5 to determine the value of each angle.
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Suppose an interior angle of a regular pentagon is . What is ?
Suppose an interior angle of a regular pentagon is
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The pentagon has 5 sides. To find the value of the interior angle of a pentagon, use the following formula to find the sum of all interior angles.
Substitute .
Divide this number by 5 to determine the value of each interior angle.
Every interior angle is 108 degrees. The problem states that an interior angle is . Set these two values equal to each other and solve for .
The pentagon has 5 sides. To find the value of the interior angle of a pentagon, use the following formula to find the sum of all interior angles.
Substitute
Divide this number by 5 to determine the value of each interior angle.
Every interior angle is 108 degrees. The problem states that an interior angle is
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True or false: Each of the five angles of a regular pentagon measures .
True or false: Each of the five angles of a regular pentagon measures
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A regular polygon with sides has congruent angles, each of which measures
Setting , the common angle measure can be calculated to be
The statement is therefore false.
A regular polygon with
Setting
The statement is therefore false.
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