# Trigonometry : Complementary and Supplementary Angles

## Example Questions

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### Example Question #1 : Complementary And Supplementary Angles

Determine the value for in radical form.     Explanation:

According to the unit circle, an angle of is similar to an angle of . Therefore: ### Example Question #2 : Complementary And Supplementary Angles

What is the relationship between angles 1 and 2? equal

vertical

complimentary

horizontal

supplementary

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 ?      Explanation:

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

Subtract from both sides.  ### Example Question #4 : Complementary And Supplementary Angles

Find the complementary angle to       Explanation:

Two angles that are complementary must add to , therefore we subtract the given angle from as follows: ### Example Question #5 : Complementary And Supplementary Angles

Find the complementary angle to       Explanation:

Two angles are complementary 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       Explanation:

Two angles are supplementary if their sum is , therefore we subtract the given angle from as follows: ### Example Question #7 : Complementary And Supplementary Angles

Find the angle that is supplementary to       Explanation:

Two angles are supplementary if their sum is , therefore we subtract the given angle from as follows: ### Example Question #8 : Complementary And Supplementary Angles

Find the angle that is supplementary to       Explanation:

If two angles are supplementary their sum is , therefore we subtract the given angle from as follows: ### Example Question #9 : Complementary And Supplementary Angles

Find the complementary angle to       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 : Complementary And Supplementary Angles

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