Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees. In circle Y, what is mArc T U? 82° 100° 106° 118

Respuesta :

Answer:

82°

Step-by-step explanation:

We know that

[tex]94\° = \frac{1}{2}(arc(SR) + arc(TU))[/tex], because the measure of the interior angle is the semi-sum of its arc and its opposite.

But, we have [tex]arc(SR)=106\°[/tex], replacing this in the expression, we have

[tex]94\° = \frac{1}{2}(106\°+ arc(TU))\\94\°=53\°+\frac{arc(TU)}{2} \\2(94\° - 53\°) =arc(TU)\\arc(TU)=82 \°[/tex]

Therefore, the right answer is the first choice, 82°.

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Answer:

a

Step-by-step explanation: