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

In general, the angle of intersecting secants theorem states that
[tex]\angle APB=\frac{1}{2}(\angle arcAB-\angle arcCD)[/tex]Therefore, in our case,
[tex]\Rightarrow\angle BPA=\frac{1}{2}(\angle arcAB-\angle arcCD)=\frac{1}{2}(96-28)=34[/tex]