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In the circle below, if arc AB = 96 ° and arc CD = 28 °, find the measure of < BPA.

In the circle below, if arc AB = 96 ° and arc CD = 28 °, find the measure of < BPA-example-1

1 Answer

6 votes

In general, the angle of intersecting secants theorem states that


\angle APB=(1)/(2)(\angle arcAB-\angle arcCD)

Therefore, in our case,


\Rightarrow\angle BPA=(1)/(2)(\angle arcAB-\angle arcCD)=(1)/(2)(96-28)=34

Thus, the answer is 34°, option a.

In the circle below, if arc AB = 96 ° and arc CD = 28 °, find the measure of < BPA-example-1
User Ted Dunning
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