363,336 views
37 votes
37 votes
Find the value of a. A. 80B. 40C. 57D. 60

Find the value of a. A. 80B. 40C. 57D. 60-example-1
User Drunken M
by
2.8k points

1 Answer

10 votes
10 votes

Given

To find:

The value of a.

Step-by-step 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°.

Find the value of a. A. 80B. 40C. 57D. 60-example-1
Find the value of a. A. 80B. 40C. 57D. 60-example-2
Find the value of a. A. 80B. 40C. 57D. 60-example-3
User Themis
by
3.0k points