Question

What is the measure of angle A?

Answer 1

∠ A = 35°

Explanation:

The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.

minor arc = 145°

major arc = 360° - 145° = 215°

Then

∠ A =
`(1)/(2)` ( 215 - 145) =
`(1)/(2)` × 70° = 35°