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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.

In the diagram of circle K tangents are drawn from point A to points B and C on the circle If mBC96 then what is the measure of angle A Show how you arrived at class=

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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°

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