Question

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

Answer 1

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.