Question

Boa is diameter of a circle with centre o and the tangent at a point p meets ba extended at t if angle pbo =30 then find angle pta

Answer 1

angle pta = 60

The Steps are given in the attatchment.

Hope this helps you.

Answer 2

As the angle in a semicircle is 90°, so $\sf{\angle{BPA}=90°}$

$\sf{\angle{PAB}=90°-30°=60°}$

$\longrightarrow$$\sf{\angle{POA}=APO=60°}$

$\longrightarrow$$\sf{\angle{POA}=60°}$

Hence, $\sf{\angle{PTA}=90°-60°=30°}$