Complementary and Supplementary Angles Practice Worksheet, Lecture notes of Trigonometry

Download Complementary and Supplementary Angles Practice Worksheet and more Lecture notes Trigonometry in PDF only on Docsity!

Complementary

and Supplementary

Angles

Created by Ana Zuniga

Graphics from the Pond http://frompond.blogspot.com

Name _________________KEY____________________ Date ______________________ Period _________ Complementary and Supplementary Angles Practice Worksheet For questions 1 – 6, find the complement of each angle. If the angle does not have a complement, write NONE.

1. 44° 46° 3. 108° NONE 5. 90° NONE
2. 35° 55° 4. 81° 9°_ 6. 16° 74°_

For questions 7 – 12, find the supplement of each angle. If the angle does not have a supplement, write NONE.

9. 147° 33° 9. 38° 142° 11. 90° 90°
10. 105° 75° 10. 87° 93° 12. 170° 10°

For questions 13-14, read each problem carefully. Show all work!

13. Find the measure of two supplementary angles (let x represent the acute angle) if the difference in the measures of the two angles is 24.

Solution: let x = acute angle; the other angle = 90 – x Set up the equation: (90 – x) – x = 24 Answer: the two angles measure 33° and 147°

14. Draw two angles that are supplementary, but not adjacent, including its angle measures.

Answers may vary. Example: one angle that measures 30 degrees and the other 60 degrees drawn as separate angles

For questions 15-18, circle TRUE is the statement is true and FALSE if the statement is false.

15. True or False: If two adjacent angles form a linear pair, they must be supplementary angles.
16. True or False: If two angles are supplementary and one is obtuse, the other one is acute.
17. True or False : If segment XY is perpendicular to segment XZ, then angle YXZ is acute.
18. True or False: If two angles are complementary, they are both acute angles.

For questions 19 – 20, use the figure below to answer each question.

A B C D

E F G

19. If m<AEB = 8x – 6 and m<BEF = 14x + 8, find the value of x. Then find the measure of angle AEB and angle BEF. Solution: 8x – 6 + 14x + 8 = 90 x = 4; m<AEB = 26°; m<BEF = 64°
20. If m<EFD = 10x + 14 and m<DFG = 6x -6, find the value of x and the measure of angle CFD. Solution: 10x + 14 + 6x – 6 = 180 x = 10.75; m<CFD = 31.5°

Name _________________________________ Date __________________________ Period _________

Bellringer

1. Are perpendicular angles and complementary angles the same?
2. Are 3 angles whose sum equals 180° supplementary angles?

Name _____________________________________________ Date __________________________ Period _________

Exit Slip

1. What part of solving problems involving complementary and supplementary angles is still giving you a hard time?
2. Name a profession that may require knowledge of complementary and supplementary angles? Why? Be specific.