Question

If PA and PB are two tangents to a circle with circle O such that APB = 80° find ABO.​

Answer 1

Answer:

100 degree

Step-by-step explanation:

in AOP and BOP

AP = BP

A = B = 90degree

OP = OP

by RHS congruence

AOP and BOP are congruent triangles

Apo = bpo by cpct

apo = 40 degree

by angle sum property

90 + 40 + x = 180

130 + × = 180

× = 50 degree

× = 2 AOB

AOB = 100 degree

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