Skills Practice Angles and Parallel Lines - Mrs. Foy's Classroom

NAME DATE PERIOD3-2 Skills PracticeAngles and Parallel LinesIn the figure, m∠2 = 70. Find the measure of each angle.1. ∠3 2. ∠53. ∠8 4. ∠15. ∠4 6. ∠61 23 45 67 8qrsIn the figure, m∠7 = 100. Find the measure of each angle.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.7. ∠9 8. ∠69. ∠8 10. ∠211. ∠5 12. ∠11In the figure, m∠3 = 75 and m∠10 = 105. Find the measureof each angle.13. ∠2 14. ∠515. ∠7 16. ∠1517. ∠14 18. ∠9Find the value of the variable(s) in each figure. Explain your reasoning.19.21.(3y - 1)°40°(5x)°(9x + 21)°(11x - 1)°(5y - 5)°20.22.(4y + 4)° 60°(8x - 10)°(6y + 20)° (7x)°(3x - 3)°wmx561 2 874 3sty9 10 1112u4381 2 76511 129 10 15 1613 14zChapter 3 33 Glencoe Geometry

NAME DATE PERIOD3-2PracticeAngles and Parallel LinesIn the figure, m∠2 = 92 and m∠12 = 74. Find the measureof each angle. Tell which postulate(s) or theorem(s) you used.1. ∠10 2. ∠843 5 61 23. ∠9 4. ∠578m5. ∠11 6. ∠13nFind the value of the variable(s) in each figure. Explain your reasoning.119 10 1415161213rs7.(9x + 12)°8.3x°(4y - 10)°(5y - 4)°3y° (2x + 13)°Find x. (Hint: Draw an auxiliary line.)9.1100°50°10.11. PROOF Write a paragraph proof of Theorem 3.3.Given: l || m, m || nProve: ∠1 ∠1212. FENCING A diagonal brace strengthens the wire fence and preventsit from sagging. The brace makes a 50° angle with the wire as shown.Find the value of the variable.62°1144°9 1011 121 23 45 67 8y°k50°lmnCopyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Chapter 3 34 Glencoe Geometry