Question

Find the measure of a. A. 60 B. 57 C. 40 D. 80

Answer 1

Answer:

Option (C)

Step-by-step explanation:

Since angle 'a' is the inscribed angle of the given triangle

Therefore, angle measure of the intercepted arc will be equal to the double of the inscribed angle.

x = 2a ⇒ a = $\frac{x}{2}$

By the tangent-chord theorem,

"Angle between a chord and tangent measure the half of the angle measure of intercepted minor arc"

$\frac{x}{2}$ = 40°

Therefore, a = $\frac{x}{2}$ = 40°

Option (C) will be the answer.