Question

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

Answer 1

Given

To find:

The value of a.

Explanation:

It is given that,

That implies,

Since

Alternate segment Theorem states that,

The angle between a tangent and a chord is equal to the angle in the alternate segment.

Then,

$\alpha=\theta$

Therefore,

$a=40\degree$

Hence, the value of a is 40°.