Respuesta :

Solution:

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

[tex]\angle B=46\degree[/tex]

To evaluate the measure of arc AB,

we have

[tex]\begin{gathered} \angle B=\frac{1}{2}\times arcAB \\ thus, \\ 46=\frac{1}{2}\times arc\text{ AB} \\ \Rightarrow arcAB=92\degree \end{gathered}[/tex]

The correct option is

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