Question

In the given figure if angle PTQ=50°. Find angle POQ

Answer 1

The answer goes like this:

90°+90°+50°+POQ=360°

180°+50°+POQ=360°

POQ=360°-230°

POQ=130°

Answer 2

Answer:

Step-by-step explanation:

PT and TQ are tangents and radius of a circle is perpendicular to tangents

So,

   ∠OPT=∠OQT=90°

OPTQ is a quadrilateral

So,

∠O+∠P+∠T+∠Q=360°

∠O+90°+50°+90°=360

∠O=360-230

⇒∠POQ=130°