GED Math : Angle Geometry

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #23 : Supplementary Angles

Suppose two angles are supplementary.  If one angle is  degrees, what must be the other angle?

Possible Answers:

Correct answer:

Explanation:

Supplementary angles must add up to 180 degrees.

Subtract the known angle from 180.

The answer is:  

Example Question #24 : Supplementary Angles

If two angles are supplementary to each other, what is the other angle if one angle is 135 degrees?

Possible Answers:

Correct answer:

Explanation:

Supplementary angles add to to 180 degrees.

To find the other angle, subtract the known angle from 180.

The answer is:  

Example Question #25 : Supplementary Angles

Suppose two angles are supplementary to each other.  What is the value of the other angle if one angle is measured 120 degrees?

Possible Answers:

Correct answer:

Explanation:

Supplementary angles must add up to 180 degrees.

To find the other angle, subtract the known angle from 180.

The answer is:  

Example Question #514 : Geometry And Graphs

In the diagram below, find the measurement of .

2

Possible Answers:

Correct answer:

Explanation:

2

Notice that the three smaller angles all lie on a straight angle. This means we can write the following equation:

Now,  has a measure of , thus we can write the following:

Example Question #515 : Geometry And Graphs

Use the following diagram of angles to answer the question:

Angle

If these two angles are supplementary, find the value of x.

Possible Answers:

Correct answer:

Explanation:

Two angles are supplementary if they add up to . So, we can use the formula:

where x and y are the angles. 

So, given the angles

Angle

we can see one angle is . So, we can substitute and solve for x. We get

Example Question #516 : Geometry And Graphs

If two angles are supplementary, and their angles are  and , what must  be?

Possible Answers:

Correct answer:

Explanation:

The two angles must sum up to 180 degrees.

Add 10 on both sides.

Divide by 5 on both sides.

The answer is:  

Example Question #31 : Supplementary Angles

Two angles are supplementary. If one angle is , find the value of the other angle.

Possible Answers:

Correct answer:

Explanation:

Two angles are supplementary if they add up to . We can use the formula:

where x and y are the angles.

Now, we know one angle is . So, we can substitute and solve for the other angle. We get

Example Question #31 : Supplementary Angles

If an angle is 168 degrees, and both angles are supplementary, what must be the other angle?

Possible Answers:

Correct answer:

Explanation:

Supplementary angles will add up to 180 degrees.

To find the missing angle, we will need to subtract the known angle from 180 degrees.

The answer is:  

Example Question #31 : Supplementary Angles

If two angles are supplementary and one angle is measured  in degrees, what is the other angle?

Possible Answers:

Correct answer:

Explanation:

Supplementary angles sum up to 180 degrees.  This means the other angle can be determined by subtracting the given angle from 180.

The answer is:  

Example Question #34 : Supplementary Angles

If a set of angles are supplementary, and both angles are  and , what must be the value of ?

Possible Answers:

Correct answer:

Explanation:

The sum of a set of supplementary angles must add up to 180 degrees.

Divide by two on both sides to determine what  is.

The value is:  

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