Problem: Given triangle PQR with RS bisecting angle R,PQ extended to D and angle n a right angle, then:
Answer Choices:
A. ∠m=1/2(∠p−∠q)
B. ∠m=1/2(∠p+∠q)
C. ∠d=1/2(∠p+∠q)
D. ∠d=1/2∠m
E. none of these is correct.
Solution:
∠m=∠p+∠d,∠d=∠q−∠m (there are two vertical angles each ∠m ). ∴∠m=∠p+∠q−∠m;∴∠m=21​(∠p+∠q).
