Question

In the diagram of circle K, tangents are drawn from point A to points B and C on the circle. If arc mBC = 96, then what is the measure of angle A.

Answer 1

∠A = 84°

Explanation:

Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.

Angles of a quadrilateral add up to 360°, so:

∠A + 90° + 90° + 96° = 360°

∠A = 84°