Drag the points to explore the formula for the angle form ed by tangents/secants intersecting outside a circle. Full lesson here.
Interactive app
$$
\overparen{\rm Far} = \class{data-angle-0}{35.92}
\\
\overparen{\rm Near} = \class{data-angle-1}{89.84}
\\
\angle{Outer} = \frac{\overparen{\rm Far} - \overparen{\rm Near}}{2}
\\
= \frac{\class{data-angle-0}{035.92} - \class{data-angle-1}{89.84}}{2}
\\
= \class{data-angle-outer}{26.96} ^{\circ}
$$
Drag Points To Start Demonstration