Question

In circle Y, what is m?
82°
100°
106°
118°

Answer 1

82 on e20

Explanation:

Answer 2

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

so

In this problem

`94\°=(1)/(2)[arc\ SR+arc\ TU]`

we have

`arc\ SR=106\°`

Solve for measure of the arc TU

`188\°=[arc\ SR+arc\ TU]`

`arc\ TU=188\°-106\°`

`arc\ TU=82\°`

therefore

the answer is

the measure of the arc TU is
`82\°`