COMPLEMENTARY AND SUPPLEMENTARY ANGLES – …



Name_____________________________ Date_____________________Period____

COMPLEMENTARY AND SUPPLEMENTARY ANGLES – Worksheet #1

Name the figures described. Use the figure for 1-6.

1. Two acute angles. _________________

2. Two obtuse angles. ___________________

3. Two pairs of vertical angles. _________________________

4. Four pairs of adjacent angles. _______________________________

5. Four pairs of supplementary angles. ___________________________

6. Two supplements of [pic]. ____________________________

7. Suppose [pic] and [pic]are known to be complementary. If [pic], then [pic]__________.

8. Suppose [pic] and [pic] are known to be supplementary. If [pic], then [pic]__________.

For problems 9-12, if [pic] and [pic]are complementary angles, state the numerical value of [pic].

|9. [pic] | [pic] |

| | |

|11. [pic] | [pic] |

| | |

For problems 13-16, if [pic] and [pic] are supplementary angles, state the numerical value of [pic].

|13. [pic] | [pic] |

| | |

|15. [pic] | [pic] |

| | |

|Two angles are supplementary. The measure of one is five times the measure|Two angles are complementary. The measure of one is 4/5 the measure of the |

|of the other angle. Find each angle. ___________ |other. |

| |Find each angle. _____________ |

Solve.

________ 19. The measure of an angle is 30 more than its complement. Find the measure of the angle

and its complement.

________

________ 20. The measure of an angle is the same as the measure of its complement. Find the measure

of the angle.

________ 21. The measure of an angle is 2/3 the measure of its supplement. Find the angle.

________ 22. The measure of an angle is 20 less than the measure of its supplement. Find the measure

of the angle, the measure of its supplement, and the measure of its complement.

________

________

________ 23. The measure of an angle is twice that of its supplement. Find the angle.

________ 24. Find the difference between the measure of the supplement and the measure of the

complement of an angle with a measure of 60.

________

________ 25. [pic] and [pic] form a linear pair and [pic]. Find the measure of each angle and

the measure of the complement of [pic].

________

________ 26. [pic] and [pic] form a linear pair and [pic]. Find the measure of each angle and

the measure of the complement of [pic].

________

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