Question

Find the angle measure A.

Answer 1

∠ A = 42°

Explanation:

an inscribed angle is an angle whose vertex lies on the circle and whose sides are two chords of the circle.

The measure of an inscribed angle is half the measure of its intercepted arc.

∠ A is an inscribed angle , then

∠ A =
`(1)/(2)` BC =
`(1)/(2)` × 84° = 42°