Supplementary Angles - GED Math
Card 1 of 280
Refer to the above diagram.
; 
. Evaluate 
.
Refer to the above diagram.
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and 
form a linear pair, so they are supplementary - that is, their degree measures total 
, so
and 
are acute angles of right triangle 
, so they are complementary - that is, their degree measures total 
, so
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Angles A and B are supplementary. The measure of angle A is 
. The measure of Angle B is 
. Find the value of 
.
Angles A and B are supplementary. The measure of angle A is
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Since angles A and B are supplementary, thier measurements add up to equal 180 degrees. Therefore we can set up our equation like such:
-or-
Combine like terms and solve for 
:
Since angles A and B are supplementary, thier measurements add up to equal 180 degrees. Therefore we can set up our equation like such:
-or-
Combine like terms and solve for
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Angles A, B, and C are supplementary. The measure of angle A is 
. The measure of angle B is 
. The measure for angle C is 
. Find the value of 
.
Angles A, B, and C are supplementary. The measure of angle A is
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Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up the equation as such:
-or-
Combine like terms and solve for 
:
Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up the equation as such:
-or-
Combine like terms and solve for
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Angles A, B, and C are supplementary. The measure of angle A is 
. The measure of angle B is 
. The measure for angle C = 
. What are the measure for the three angles?
Angles A, B, and C are supplementary. The measure of angle A is
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Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up an equation as such:
-or-
Combine like terms and solve for x:
Plug 
back into the three angle measurements:
4
Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up an equation as such:
-or-
Combine like terms and solve for x:
Plug
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Find the measure of angle B if it is the supplement to angle A:
Find the measure of angle B if it is the supplement to angle A:
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If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:
This gives us a final answer of 172 degrees for angle B.
If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:
This gives us a final answer of 172 degrees for angle B.
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If a set of angles are supplementary, what is the other angle if one angle is 
degrees?
If a set of angles are supplementary, what is the other angle if one angle is
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Two angles that are supplementary must add up to 180 degrees.
To find the other angle, subtract 101 from 180.
The answer is: 
Two angles that are supplementary must add up to 180 degrees.
To find the other angle, subtract 101 from 180.
The answer is:
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What angle is supplementary to 54 degrees?
What angle is supplementary to 54 degrees?
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Supplementary angles must add up to 180 degrees.
To find the other angle, we will need to subtract 54 from 180.
The answer is: 
Supplementary angles must add up to 180 degrees.
To find the other angle, we will need to subtract 54 from 180.
The answer is:
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If 
and 
are supplementary angles, what must be a possible angle?
If
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The sum of the two angles supplement to each other will add up to 180 degrees.
Set up the equation.
Solve for 
.
Divide by 10 on both sides.
Substitute 
for 
and 
, and we have 36 and 144, which add up to 180.
The answer is: 
The sum of the two angles supplement to each other will add up to 180 degrees.
Set up the equation.
Solve for
Divide by 10 on both sides.
Substitute
The answer is:
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If the angles 
and 
are supplementary, what is the value of 
?
If the angles
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Supplementary angles sum to 180 degrees.
Set up an equation to solve for 
.
Substitute this value to 
.
The answer is: 
Supplementary angles sum to 180 degrees.
Set up an equation to solve for
Substitute this value to
The answer is:
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Suppose there are two angles. If a given angle is 
, and both angles are supplementary, what must be the other angle?
Suppose there are two angles. If a given angle is
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Supplementary angles add up to 180 degrees.
This means we will need to subtract the known angle quantity from 180.
Distribute the negative.
The answer is: 
Supplementary angles add up to 180 degrees.
This means we will need to subtract the known angle quantity from 180.
Distribute the negative.
The answer is:
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If an angle given is 
radians, what is the other angle if both angles are supplementary?
If an angle given is
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Note that supplementary angles sum up to 180 degrees or equal to 
radians.
Subtract the known angle from pi.
The answer is: 
Note that supplementary angles sum up to 180 degrees or equal to
Subtract the known angle from pi.
The answer is:
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Which angle must be supplementary to the angle 
?
Which angle must be supplementary to the angle
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Supplementary angles add up to 180 degrees.
Subtract 
from 180 degrees. Do not add this value with 180!
The answer is: 
Supplementary angles add up to 180 degrees.
Subtract
The answer is:
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The angles above are supplementary.
What is the angle measure of the smaller angle above?
The angles above are supplementary.
What is the angle measure of the smaller angle above?
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Since the two angles are supplementary, you know that they must add up to 
degrees. Therefore, you can take their values and create the following simple equation:
Next, solve for 
:
Now, be careful! Substitute back in to find your angle measures:
Your smaller measure is 
degrees.
Since the two angles are supplementary, you know that they must add up to
Next, solve for
Now, be careful! Substitute back in to find your angle measures:
Your smaller measure is
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The angles above are supplementary.
What is the smaller of the two angle measures?
The angles above are supplementary.
What is the smaller of the two angle measures?
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Since the two angles are supplementary, you know that they must add up to 
degrees. Therefore, you can take their values and create the following simple equation:
Simplify to find 
:
Then, put 
back in to find the smaller measure:
Thus, the smaller angle is 
degrees.
Since the two angles are supplementary, you know that they must add up to
Simplify to find
Then, put
Thus, the smaller angle is
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Find the measure of angle B if it is the supplement to angle A:
Find the measure of angle B if it is the supplement to angle A:
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If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:
This gives us a final answer of 51 degrees for angle B.
If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:
This gives us a final answer of 51 degrees for angle B.
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The angles above are supplementary.
What is the sum of the two smaller angles in those above?
The angles above are supplementary.
What is the sum of the two smaller angles in those above?
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To begin, note that the angles are supplementary. This means that they must add up to 
degrees. Based on your data, this means:
Simplifying, you get:
Since 
is 
degrees, you know that your three angles are:
Therefore, the sum of your two smallest angles is 
degrees.
To begin, note that the angles are supplementary. This means that they must add up to
Simplifying, you get:
Since
Therefore, the sum of your two smallest angles is
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There are three angles that, altogether, are supplementary. The second angle is 10 degrees larger than the first, while the third is 10 larger than the second. What is the size of the middle-sized angle?
There are three angles that, altogether, are supplementary. The second angle is 10 degrees larger than the first, while the third is 10 larger than the second. What is the size of the middle-sized angle?
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Since all three angles are supplementary, you know that they must add up to 
degrees. However, you need to manage some of the other details. Imagine that the first one is 
degrees. The second must be 
degrees. This means that the third is 
or 
degrees. Therefore, you could draw the following:
Based on this data, you know:
Simplifying, you get:
The middle angle is 
or 
degrees
Since all three angles are supplementary, you know that they must add up to
Based on this data, you know:
Simplifying, you get:
The middle angle is
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Angles x and y are supplementary. If 
, what is the value of x?
Angles x and y are supplementary. If
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Two angles are supplementary if they add up to 
. So, to find supplementary angles, we will use the following formula:
Now, we know 
. So, we can substitute and solve for x. We get
Two angles are supplementary if they add up to
Now, we know
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Suppose a pair of angles are supplementary. What is the other angle if one angle is 
?
Suppose a pair of angles are supplementary. What is the other angle if one angle is
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Supplementary angles add up to 180 degrees.
To find the other angle, we will need to subtract the given angle from 180.
Combine like-terms.
The answer is: 
Supplementary angles add up to 180 degrees.
To find the other angle, we will need to subtract the given angle from 180.
Combine like-terms.
The answer is:
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Angles x and y are supplementary. If 
, find x.
Angles x and y are supplementary. If
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Two angles are supplementary if they add up to 
. So, we use the following formula:
Now, we know 
So, we will substitute and solve for x. We get
Two angles are supplementary if they add up to
Now, we know
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