Question

In ∆PQR (see figure 1), if ∠ = , PM bisects ∠ and ⊥ , then find the measure of ∠.​

Answer 1

Step-by-step explanation:

•∠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°