Question

The measure of ∠1 =

43
86
274

Answer 1

Option A). 43°

Explanation:

As we know from tangent chord angle theorem

Tangent chord angle ∠1 = (1/2)(Intercepted arc)

It has been given in the question tangent chord angle = ∠1

Measurement of major arc = 274°

Now measurement of intercepted arc = (360 - measurement of major arc)

Intercepted arc = (360 - 274) = 86°

Therefore tangent chord angle 1 =
`(86)/(2)=43`

Option A. 43° is the correct answer.

Answer 2

`m<1=43\°`

Explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

`m<1=(1/2)(360\°-274\°)`

`m<1=(1/2)(86\°)`

`m<1=43\°`