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timurjin [86]
3 years ago
13

In circle Y, what is mTU?

Mathematics
2 answers:
Dima020 [189]3 years ago
7 0

Answer:

The measure of the arc TU will be equal to 71°.

Step-by-step explanation:

We know that the measure of the interior angle is half the sum of the arcs that comprise it and is opposite to it, therefore

63=\frac{1}{2}(arcSR+arcTU)

⇒126=55+arcTU

⇒126-55=arcTU

⇒arcTU=71°

Therefore,the measure of the arc TU will be equal to 71°.

Marat540 [252]3 years ago
4 0

we know that

The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite

so

63=\frac{1}{2} *(arc \ SR+arc\ TU)\\ \\ 126=55+arc\ TU\\ \\ arc\ TU=126-55\\ arc\ TU=71\ degrees

therefore

the answer is

the measure of arc TU is equal to 71\ degrees

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