Answer:
10. k = 36
11. k = 33, m = 15
13. ∠1 = 80°, ∠2 = 100°
Step-by-step explanation:
10. 2k° and∠QPD are corresponding angles, so congruent. Thus, the marked angles are supplementary and total 180°.
3k +2k = 180
k = 180/5
k = 36
__
11. The angle marked m and the one marked 15° are corresponding angles, hence congruent.
m = 15
The angle marked 5k° is supplementary to m°, so we have ...
5k = 180 -15
k = 165/5
k = 33
__
13. The angle marked 2 and the one marked 100° are corresponding angles in this geometry, so are congruent.
∠2 = 100°
The angle marked 1 is supplementary to ∠2, so is ...
∠1 = 180° -∠2
∠1 = 80°
