How to find an angle in a pentagon - ISEE Upper Level Quantitative Reasoning
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The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know that:


If
, then






The angles of a pentagon measure a total of . From the information, we know that:
If , then
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A convex pentagon has four angles that measure
each. What is the measure of the fifth angle?
A convex pentagon has four angles that measure each. What is the measure of the fifth angle?
The angles of a pentagon measure a total of
. If we let the unknown angle measure be
, then from this information:




Since an angle measure cannot be negative, this pentagon cannot exist.
The angles of a pentagon measure a total of . If we let the unknown angle measure be
, then from this information:
Since an angle measure cannot be negative, this pentagon cannot exist.
Compare your answer with the correct one above
The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know:


If
, then the above becomes:






The angles of a pentagon measure a total of . From the information, we know:
If , then the above becomes:
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Solve for
:

Solve for :
The sum of the interior angles of a pentagon can be determined by the following equation, where
is the number of sides:

Therefore:




The sum of the interior angles of a pentagon can be determined by the following equation, where is the number of sides:
Therefore:
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The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know that:


If
, then






The angles of a pentagon measure a total of . From the information, we know that:
If , then
Compare your answer with the correct one above
A convex pentagon has four angles that measure
each. What is the measure of the fifth angle?
A convex pentagon has four angles that measure each. What is the measure of the fifth angle?
The angles of a pentagon measure a total of
. If we let the unknown angle measure be
, then from this information:




Since an angle measure cannot be negative, this pentagon cannot exist.
The angles of a pentagon measure a total of . If we let the unknown angle measure be
, then from this information:
Since an angle measure cannot be negative, this pentagon cannot exist.
Compare your answer with the correct one above
The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know:


If
, then the above becomes:






The angles of a pentagon measure a total of . From the information, we know:
If , then the above becomes:
Compare your answer with the correct one above
Solve for
:

Solve for :
The sum of the interior angles of a pentagon can be determined by the following equation, where
is the number of sides:

Therefore:




The sum of the interior angles of a pentagon can be determined by the following equation, where is the number of sides:
Therefore:
Compare your answer with the correct one above
The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know that:


If
, then






The angles of a pentagon measure a total of . From the information, we know that:
If , then
Compare your answer with the correct one above
A convex pentagon has four angles that measure
each. What is the measure of the fifth angle?
A convex pentagon has four angles that measure each. What is the measure of the fifth angle?
The angles of a pentagon measure a total of
. If we let the unknown angle measure be
, then from this information:




Since an angle measure cannot be negative, this pentagon cannot exist.
The angles of a pentagon measure a total of . If we let the unknown angle measure be
, then from this information:
Since an angle measure cannot be negative, this pentagon cannot exist.
Compare your answer with the correct one above
The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know:


If
, then the above becomes:






The angles of a pentagon measure a total of . From the information, we know:
If , then the above becomes:
Compare your answer with the correct one above
Solve for
:

Solve for :
The sum of the interior angles of a pentagon can be determined by the following equation, where
is the number of sides:

Therefore:




The sum of the interior angles of a pentagon can be determined by the following equation, where is the number of sides:
Therefore:
Compare your answer with the correct one above
The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know that:


If
, then






The angles of a pentagon measure a total of . From the information, we know that:
If , then
Compare your answer with the correct one above
A convex pentagon has four angles that measure
each. What is the measure of the fifth angle?
A convex pentagon has four angles that measure each. What is the measure of the fifth angle?
The angles of a pentagon measure a total of
. If we let the unknown angle measure be
, then from this information:




Since an angle measure cannot be negative, this pentagon cannot exist.
The angles of a pentagon measure a total of . If we let the unknown angle measure be
, then from this information:
Since an angle measure cannot be negative, this pentagon cannot exist.
Compare your answer with the correct one above
The measures of the angles of a pentagon are
. If
, what is
?
The measures of the angles of a pentagon are . If
, what is
?
The angles of a pentagon measure a total of
. From the information, we know:


If
, then the above becomes:






The angles of a pentagon measure a total of . From the information, we know:
If , then the above becomes:
Compare your answer with the correct one above
Solve for
:

Solve for :
The sum of the interior angles of a pentagon can be determined by the following equation, where
is the number of sides:

Therefore:




The sum of the interior angles of a pentagon can be determined by the following equation, where is the number of sides:
Therefore:
Compare your answer with the correct one above