In circle y, what is m?


Asked by maham237 @ in Mathematics viewed by 333 People


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

Answered by maham237 @



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\°=\frac{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\°


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