Question

21. In triangle PQR, QO and RO are the bisectors of
LPQR and ZPRQ respectively. Find the measure
of ZQPR, if QOR = 140°.
(A) 100°
(B) 70° (C) 80° (D) 110°

Answer 1

Answer

Correct option is B

130

o

∠QPR=80°

∠PQR+∠QPR+∠QRP=180°

∠PQR+∠QRP=100°

2(x+y)=100°

x+y=50°

So, in △QOR

x+y+∠QOR=180°

∴∠QOR=180°−50°

=130°