In the diagram of circle K, tangents are drawn from point A to points B and C on the circle. If mBC=96, then what is the measure of angle A. Show how you arrived at your answer.

Answer:
∠ A = 84°
Step-by-step explanation:
The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.
major arc BC = 360° - 96° = 264°, thus
∠ A = [tex]\frac{1}{2}[/tex] (264 - 96)° = [tex]\frac{1}{2}[/tex] × 168° = 84°