GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #2 : Supplementary Angles

If a set of angles are supplementary, what is the other angle if one angle is  degrees?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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

Comp1

The angles above are supplementary.

What is the angle measure of the smaller angle above?

Possible Answers:

 

 

 

 

 

Correct answer:

 

Explanation:

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

Comp2

The angles above are supplementary.

What is the smaller of the two angle measures?

Possible Answers:

 

 

 

 

 

Correct answer:

 

Explanation:

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

Comp3

The angles above are supplementary.

What is the sum of the two smaller angles in those above?

Possible Answers:

 

 

 

 

 

Correct answer:

 

Explanation:

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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