All GED Math Resources
Example Questions
Example Question #2 : Supplementary Angles
If a set of angles are supplementary, what is the other angle if one angle is degrees?
Two angles that are supplementary must add up to 180 degrees.
To find the other angle, subtract 101 from 180.
The answer is:
Example Question #61 : Angle Geometry
What angle is supplementary to 54 degrees?
Supplementary angles must add up to 180 degrees.
To find the other angle, we will need to subtract 54 from 180.
The answer is:
Example Question #1 : Supplementary Angles
If and are supplementary angles, what must be a possible angle?
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:
Example Question #2 : Supplementary Angles
If the angles and are supplementary, what is the value of ?
Supplementary angles sum to 180 degrees.
Set up an equation to solve for .
Substitute this value to .
The answer is:
Example Question #3 : Supplementary Angles
Suppose there are two angles. If a given angle is , and both angles are supplementary, what must be the other angle?
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:
Example Question #4 : Supplementary Angles
If an angle given is radians, what is the other angle if both angles are supplementary?
Note that supplementary angles sum up to 180 degrees or equal to radians.
Subtract the known angle from pi.
The answer is:
Example Question #61 : Angle Geometry
Which angle must be supplementary to the angle ?
Supplementary angles add up to 180 degrees.
Subtract from 180 degrees. Do not add this value with 180!
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 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.
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 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.
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 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.
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