Question

PQR are points on a circle , center O .if OPQ = 36°,what is the size of PQR

Answer 1

Answer:

∠POQ = 2∠PRQ

⇒ ∠POQ = 2l

In △PQO, OP = OQ = r

⇒ ∠OQP = ∠OPQ = m

Also, ∠OPQ + ∠OQP + ∠POQ = 180°

⇒ m + m = 2l = 180°

⇒ 2(l + m) = 180°

⇒ l + m = 90°