GED Math : Supplementary Angles

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #11 : Supplementary Angles

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 #12 : Supplementary Angles

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 #13 : Supplementary Angles

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 #14 : Supplementary Angles

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.

Example Question #15 : 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?

Possible Answers:

Cannot be computed from the information provided

 

 

 

 

Correct answer:

 

Explanation:

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:

Comp4

Based on this data, you know:

Simplifying, you get:

The middle angle is  or  degrees

Example Question #16 : Supplementary Angles

Angles x and y are supplementary.  If , what is the value of x?

Possible Answers:

Correct answer:

Explanation:

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

Example Question #17 : Supplementary Angles

Suppose a pair of angles are supplementary.  What is the other angle if one angle is ?

Possible Answers:

Correct answer:

Explanation:

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 #18 : Supplementary Angles

Angles x and y are supplementary.  If , find x.

Possible Answers:

Correct answer:

Explanation:

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

Example Question #19 : Supplementary Angles

If two angles are supplementary, where one given angle measurement is  degrees, and the other angle is  degrees,what must be the value of ?

Possible Answers:

Correct answer:

Explanation:

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 #20 : Supplementary Angles

Angles

Figure NOT drawn to scale.

Refer to the above figure. Evaluate .

Possible Answers:

Correct answer:

Explanation:

The marked angles form a linear pair and are therefore supplementary - their degree measures total . Set the sum of the expressions equal to 180, and solve for :

Simplify and collect like terms:

Subtract 88 from both sides:

Divide both sides by 2:

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