University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2022
Views:

355

Pages:

2
Author:

Efrain Villa

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° 10. 105° __33°__ __75°__ 9. 38° 10. 87° __142°__ __93°__ 11. 90° __90°__ 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 E B C F D G 19. If m