P is an exterior point of ⊙(O, r) and the tangents from P to the circle touch the circle at X and Y.
Find m∠XOY, if m∠XPO = 80.
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P is in the exterior of ⊙(0.15).
For △PTO,m∠OTP=90
o
OP
2
=OT
2
+PT
2
........... [By Pythagoras theorem]
⟹OP
2
=(15)
2
+(8)
2
=289
∴ OP=17
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