Trigonometry : Complementary and Supplementary Angles

Study concepts, example questions & explanations for Trigonometry

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Example Questions

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Example Question #1 : Complementary And Supplementary Angles

Determine the value for  in radical form.

Possible Answers:

Correct answer:

Explanation:

According to the unit circle, an angle of  is similar to an angle of .

Unit_circle

Therefore:

Example Question #1 : Complementary And Supplementary Angles

What is the relationship between angles 1 and 2?


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Possible Answers:

supplementary

equal

vertical 

complimentary

horizontal

Correct answer:

supplementary

Explanation:

These angles are supplementary, as the sum of the angles is 180o.

Example Question #3 : Complementary And Supplementary Angles

What angle is supplementary to ?

Possible Answers:

Correct answer:

Explanation:

Two angles that are supplementary add up to . For our problem, that means that .

Subtract  from both sides.

Example Question #4 : Angles

Find the complementary angle to 

Possible Answers:

Correct answer:

Explanation:

Two angles that are complementary must add to , therefore we subtract the given angle from  as follows:

Example Question #4 : Complementary And Supplementary Angles

Find the complementary angle to 

Possible Answers:

Correct answer:

Explanation:

Two angles are complementary if their sum is , therefore we subtract the given angle from  as follows:

Example Question #5 : Complementary And Supplementary Angles

Find the angle that is supplementary to 

Possible Answers:

Correct answer:

Explanation:

Two angles are supplementary if their sum is , therefore we subtract the given angle from  as follows:

Example Question #6 : Complementary And Supplementary Angles

Find the angle that is supplementary to 

Possible Answers:

Correct answer:

Explanation:

Two angles are supplementary if their sum is , therefore we subtract the given angle from  as follows:

Example Question #8 : Angles

Find the angle that is supplementary to 

Possible Answers:

Correct answer:

Explanation:

If two angles are supplementary their sum is , therefore we subtract the given angle from  as follows:

Example Question #7 : Complementary And Supplementary Angles

Find the complementary angle to 

Possible Answers:

Correct answer:

Explanation:

In order for two angles to be complementary their sum must be , therefore the complementary angle can be found by subtracting the given angle from :

Example Question #10 : Angles

Determine the complementary angle to 

Possible Answers:

Correct answer:

Explanation:

The sum of two complementary angles must be , therefore in order to determine the complementary angle of  we simply subtract from  as follows:

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