Transcript 1-5 Angle Relationships
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1-4 HW Answers
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Q 21.
Right 13. P 14. R 15. M 16. TP & PQ 17. VN & NM 18. NR & NM 19. PR & RQ 20. <4 23. <8 25. <4 26. P,T 27. Q,S 28. <9 & <3 29. <9 & <2 31. Right 32. Acute 33. Acute 34. Obtuse 35. Obtuse 36. Answers will vary 37. 27 39. 16 41. 47 + + + Adjacent Angles- 2 angles that lie in the same plane and have a common vertex, but no common interior points Linear Pair- a pair of adjacent angles with non-common sides that are opposite rays Vertical Angles- 2 nonadjacent angles formed by 2 intersecting lines – VERTICAL ANGLES ARE CONGRUENT Complementary angles- 2 angles with measures that have a sum of 90 Supplementary angles- 2 angles with measures that have a sum of 180 Perpendicular- lines, segments, or rays that form right angles + 1 2 3 2 1 4 <1=<2 , <3=<4 1 2 1 2 1 2 + 1. Name a linear pair (x-36)+x=180 2x-36=180 2x=216 x=108 (x-36) = 108-36 = 72 + 1. Name a linear pair whose vertex is B (2x+21)+x=90 3x+21=90 3x=69 x=23 (2x+21) = 2(23)+21= 67 X=23 + 5. If m ∠ RTS = 8x + 18, find the value of x so that TR ⊥ TS. 8x+18 = 90 8x = 72 x = 9 CAN YOU ASSUME? 6. ∠ WZU is a right angle YES Markings tell us so 7. ∠ VZU is adjacent to ∠ YZX. NO Vertical angles, not adj. + 5. If m ∠ PTQ = 3y − 10 and m ∠ QTR = y, find the value of y so that ∠ PTR is a right angle. 3y-10 +y = 90 4y -10 = 90 4y = 100 y=25 CAN YOU ASSUME? 6. ∠ NQO and ∠ OQP are complementary. NO- No right angle markings 7. ∠ SRQ and ∠ QRP is a linear pair. Yes, straight line + 9. < BFC & < DFE 29. X = 7 11. < FDG & < GDE 13. < CBF & < GDE 17. < BAD 19. X = 65 21. Y = 85 23. Y =21 , X = 48 25. < F = 63 , < E = 117 31. < JNP = 92 35. A = 8, b = 54 37. True 39. can’t determine 41. False 1-5 Angle Relationships
Real-Life
Vocabulary
ADJACENT
VERTICAL
SUPPLEMENTARY
LINEAR PAIR
COMPLEMENTARY PERPENDICULAR
Examples
PRACTICE
Examples
PRACTICE
HW 1-5 Answers