Download 1.5 challenge answers

Answer Key
Lesson 1.5
Challenge Practice
1. When x 5 4.5, m
A 5 75.58 and m B 5 14.58. When x 5 25, m A 5 858 and m B 5 58.
2. x 5 5, m A 5 858, m B 5 958
3. 1228, 588
4. 748, 168
5. False. In the figure, AGB and BGC are adjacent but do not form a linear pair. Two adjacent angles
are a linear pair only if their noncommon sides are opposite rays.
6. True. In the figure, ABC and CBD are a linear pair with ###$
BA and###$
BD as opposite rays. Also CBD
BC and###$
BE as opposite rays. The sides of ABC and DBE two pairs of
and DBE are a linear pair with ###$
opposite rays, so the angles are vertical angles.
7. False. In the figure,
posite rays.
JKL and
JKM are not a linear pair because their noncommon sides are not op-
8. False. In the figure, ฀JKL and ฀MKN are vertical angles. Because ###$
KL and ###$
KN are not
opposite rays, ฀NKL is not a striaght angle.
160
85
9. x 5 }, y 5 } 10. x 5 15, y 5 90
3
3
11. x 5 24, y 5 12 12. x 5 10, y 5 15