Question

In the given figure PQ is a diameter of the circle.
If ∠ = 65°, ∠ = 60° ∠ = 25° then find (i) ∠ (ii) ∠

Answer 1

Step-by-step explanation:

(1)    ∠QPR=180∘∠PRQ−∠RQP

∠QPR=180∘−90∘−65∘=25∘

(2)    ∠QPM=180∘∠PMQ−∠PQM

∠QPM=180∘−90∘−50∘=40∘

(3)  ∠PSR=180∘−∠PQR=180∘−65∘=115∘

 ∠PRS=180∘∠SPR−∠PSR

∠PRS=180∘−40∘−11∘=15∘