Question

1. In circle O, PA and PB are tangents. (The figure is not drawn to scale.)

Answer 1

a.Prove that APO = BPO
b.Find m BOD for m AOP = 64. Explain your reasoning.

Answer 2

APO = BPO because AO=BO, PO=PO, AP=BP (side-side-side)

Answer 3

the measure of AOP = the measure of BOP = 64 degrees
then, m BOP + BOD = 180 (supplement angles)
64 + BOD = 180
BOD = 180 - 64
BOD = ... degrees