Question

In circle O, PA and PB are are tangents. (The figure is not drawn to scale.)
Find m BOD for m AOP = 64. Explain your reasoning.

Answer 1

ok... thia requires a congruency proof

in simple terms

in triangles OBP and OAP
tangents from an external point are equal PB = PA
OA is a common side

bO = AO equal radii... therefore congruent

then angle angle AOP = BOP..... corresponding angles in congruent triangles...

so BOD is supplementary to BOP

BOD = 180 - 64

hope this helps

Answer 2

sorry for the abbreviated nature of the proof.

Answer 3

thank u so much

Answer 4

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