araceli9603
araceli9603 araceli9603
  • 19-08-2019
  • Mathematics
contestada

In the figure, PA and PB are tangent to circle O and PD bisects BPA. The figure is not drawn to scale.

In the figure PA and PB are tangent to circle O and PD bisects BPA The figure is not drawn to scale class=

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 22-08-2019

Answer:

48

Step-by-step explanation:

Since PD bisects BPA, we can say angle AOC and BOC are equal. So Angle BOC = 42.

Since PB is tangent to the circle, PBO is 90 degrees (tangent means 90 degrees at point of tangency).

Now looking at triangle PBO (also, 3 angles of a triangle add up to 180), we can say:

BPO + PBO + BOC = 180

BPO + 90 + 42 = 180

BPO + 132 = 180

BPO = 180 - 32 = 48

Option c is right.

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