Question

pls give step by step explanation ​

Answer 1

Step-by-step explanation:

Construction : Join DT

In triangle OAP and OTP

OA = OT (Radii of same circle)

PA = PT (Equal tangents)

OP = OC (common side)

Therefore triangle OAP is congruent to triangle OTP.

Angle OAP = angle POT (CPCT). Let this angle be x

Similarly triangle OBQ is congruent to triangle OTQ.

angle TOQ = angle BOQ (CPCT) Let this angle be y.

Since AB is the diameter,

x+x+y+y = 180°

x+y = 90°

Therefore angle POQ = 90°

Hope this helps Mark as branliest pls