GED Math : Supplementary Angles
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Example Questions
Example Question #61 : Angle Geometry
Which angle must be supplementary to the angle 
Supplementary angles add up to 180 degrees.
Subtract 
The answer is:
Example Question #61 : Angle Geometry
The angles above are supplementary.
What is the angle measure of the smaller angle above?
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 
Example Question #62 : Angle Geometry
The angles above are supplementary.
What is the smaller of the two angle measures?
Since the two angles are supplementary, you know that they must add up to 
Simplify to find 
Then, put 
Thus, the smaller angle is 
Example Question #63 : Angle Geometry
The angles above are supplementary.
What is the sum of the two smaller angles in those above?
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 
Example Question #11 : Supplementary Angles
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?
Cannot be computed from the information provided
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 
Example Question #502 : 2 Dimensional Geometry
Angles x and y are supplementary. If 
Two angles are supplementary if they add up to 
Now, we know 
Example Question #12 : Supplementary Angles
Suppose a pair of angles are supplementary. What is the other angle if one angle 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:
Example Question #504 : 2 Dimensional Geometry
Angles x and y are supplementary. If 
Two angles are supplementary if they add up to 
Now, we know 
Example Question #505 : 2 Dimensional Geometry
If two angles are supplementary, where one given angle measurement is 
Set up an equation such that both angles will add up to 180 degrees, since these are supplementary angles.
Combine like-terms.
Subtract fifty from both sides.
Divide by 100 on both sides.
The answer is:
Example Question #506 : 2 Dimensional Geometry
Figure NOT drawn to scale.
Refer to the above figure. Evaluate 
The marked angles form a linear pair and are therefore supplementary - their degree measures total 
Simplify and collect like terms:
Subtract 88 from both sides:
Divide both sides by 2:
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