Respuesta :

Answer:

[tex]m<1=43\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<1=(1/2)(360\°-274\°)[/tex]

[tex]m<1=(1/2)(86\°)[/tex]

[tex]m<1=43\°[/tex]


Answer:

Option A). 43°

Step-by-step 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 = [tex]\frac{86}{2}=43[/tex]

Option A. 43° is the correct answer.