Question

In the circle below, if < B = 46 °, what is the measure of arc AB?

Answer 1

Given:

Recall that from the tangent chord theorem, the angle formed by a tangent to a circle and a chord is equal to half the angle measure of the intercepted arc.

This implies that

Given that

`\angle B=46\degree`

To evaluate the measure of arc AB,

we have

`\begin{gathered} \angle B=(1)/(2)* arcAB \\ thus, \\ 46=(1)/(2)* arc\text{ AB} \\ \Rightarrow arcAB=92\degree \end{gathered}`

The correct option is