GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #4 : Angle Geometry

What angle is complementary to 55?

Possible Answers:

Correct answer:

Explanation:

The definition of a complementary angle means that two angles must add up to 90 degrees.

To find the angle, simply subtract 55 from 90.

The answer is:  

Example Question #1 : Angle Geometry

What angle is complementary to 10 degrees?

Possible Answers:

Correct answer:

Explanation:

Complementary angles must add up to ninety.

Subtract the given angle from 90 to find the other angle.

The answer is:  

Example Question #5 : Angle Geometry

Suppose the angles  and  are complementary angles.  What is the value of ?

Possible Answers:

Correct answer:

Explanation:

Set up the equation such that both angles sum up to 90.

Add 5 on both sides.

Divide both sides by 8.

The value of  is:  

The answer is:  

Example Question #6 : Angle Geometry

Determine the value of  if the angles  and  are complementary.

Possible Answers:

Correct answer:

Explanation:

Complementary angles must add up to 90 degrees.

Set up an equation so that the sum of two angles add up to 90.

Subtract 8 on both sides.

Simplify both sides.

Divide by two on both sides.

The answer is:  

Example Question #1 : Angle Geometry

What angle is complementary to  radians?

Possible Answers:

Correct answer:

Explanation:

Note that this is in radians.  Recall that 2 complementary angles must add up to 90 degrees.

Since ,

To find the complementary angle, subtract  from .

The answer is:  

Example Question #441 : Geometry And Graphs

If the angles  and  are complementary angles, what must be the smallest angle?

Possible Answers:

Correct answer:

Explanation:

Complementary angles add up to 90 degrees.

Set up the equation such that both angles add up to 90.

Divide by 6 on both sides.

The smallest angle is .

Substitute the value of  into the expression.

The answer is:  

Example Question #12 : Complementary Angles

Suppose the angles  and  are complementary angles.  What is the value of ?

Possible Answers:

Correct answer:

Explanation:

Complementary angles add up to 90 degrees.

Set up the equation to solve for .

Combine like-terms.

Subtract 6 from both sides.

Divide by three on both sides.

This means that .

The answer is:  

Example Question #11 : Complementary Angles

What angle is complement to the angle ?

Possible Answers:

Correct answer:

Explanation:

Note that complementary angles sum up to 90 degrees.  There is no  after the fraction, which means that this value is in degrees, and not radians.

To determine the other angle, simply subtract the angle from 90 degrees.

The answer is:  

Example Question #11 : Complementary Angles

Which angle is complementary to the angle ?

Possible Answers:

Correct answer:

Explanation:

Complementary angles sum up to 90 degrees.

To find the other angle, subtract 62 from the value of 90.

The answer is:  

Example Question #15 : Complementary Angles

Sup1

The angles above are complementary.

What is the measure of the smaller angle?

Possible Answers:

 

 

 

 

 

Correct answer:

 

Explanation:

Since the angles are complementary, you know that they must add up to a total of  degrees.  Based on our data, this means:

Simplifying, you get:

The smaller angle clearly is :

 degrees

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