GED Math : Complementary Angles

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #461 : 2 Dimensional Geometry

Use the following angles to answer the question:

Angle2

If these two angles are complementary, find the value of x

Possible Answers:

Correct answer:

Explanation:

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

where x and y are the angles.

So, given the angles

Angle2

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

Example Question #462 : 2 Dimensional Geometry

If angle measure is  degrees, what is the other angle if both angles are complementary?

Possible Answers:

Correct answer:

Explanation:

Complementary angles add up to 90 degrees.

To determine the other angle, subtract 81 from 90.

The answer is:  

Example Question #463 : 2 Dimensional Geometry

If two angles are complementary, and one angle is , what is the value of the other angle?

Possible Answers:

Correct answer:

Explanation:

Two angles are complementary 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 will substitute and solve for the other angle. We get

Example Question #464 : 2 Dimensional Geometry

If an angle is measured 35 degrees, what is the other angle if both angles are complementary?

Possible Answers:

Correct answer:

Explanation:

Complementary angles sum up to 90 degrees.

To find the other angle, subtract the known angle from 90 degrees.

The answer is:  

Example Question #465 : 2 Dimensional Geometry

Suppose two angles are complementary.  What must  be if the angles are  and  degrees?

Possible Answers:

Correct answer:

Explanation:

The sum of both angles must add up to 90 degrees.

Solve for the variable.

Add 5 on both sides.

Divide by 10 on both sides.

Simplify the fraction.

The answer is:  

Example Question #466 : 2 Dimensional Geometry

If two angles are complementary, and one angle is measured  radians, what is the other angle in radians?

Possible Answers:

Correct answer:

Explanation:

If the set of angles are complementary, they must add up to  radians, which is equivalent to 90 degrees.

Subtract  radians from  radians.

The answer is:  

Example Question #467 : 2 Dimensional Geometry

Which angle is complementary to 30 degrees?

Possible Answers:

Correct answer:

Explanation:

Complementary angles must sum up to 90 degrees. In order to find the other angle, we must subtract the given angle from 90 degrees.

The answer is:  

Example Question #468 : 2 Dimensional Geometry

Which of the following pairs of angles are complementary angles?

Possible Answers:

Correct answer:

Explanation:

Which of the following pairs of angles are complementary angles?

Recall that complementary angles are angles which add up to 90 degrees.

In this case, all we have to do is see which pairs sum to 90, and that will be our answer:

So it must be the last one.

Example Question #469 : 2 Dimensional Geometry

Right triangle has right angle and angle . What would be the measure of an angle which is complementary to ?

Possible Answers:

Correct answer:

Explanation:

No calculation is actually required for this problem. is the right angle of , so and must comprise a complementary pair of angles. Since is complementary to , any angle complementary to  must have measure equal to that of , which is .

Example Question #470 : 2 Dimensional Geometry

The image is not to scale. 

If the sum of two angles results in a complementary angle, what is the measure of the unknown angle? 

Capture2

Possible Answers:

Correct answer:

Explanation:

With the provided image, we are asked to solve for the measure of the unknown angle.

Capture2

First, we must understand some information before attempting to solve the problem. The problem provides the information that the two angles summed up result in a complimentary angle. This is another way to say that when we add the measures of the two angles, it will equal .

This becomes a problem where we solve for a missing variable now. We can call the unknown angle x. We would set this up in equation format accordingly:

Now, we can solve for x. 

Therefore, the unknown angle is .

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