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Gnoma [55]
4 years ago
11

Arc QVT measures 156

Mathematics
2 answers:
mixas84 [53]4 years ago
5 0

Answer:

Angles QRT and QST both measure 78 degrees

Step-by-step explanation:

We are given that

Measure of arc QVT=156^{\circ}

We know that

Central angle is equal to measure of intercepted arc

arc QVT=\angle QPT=156^{\circ}

Inscribed angle formed by same arc are equal

\angle QRT=\angle QST

Inscribed angle is equal to half of the central angle.

\angle QRT=\angle QST=\frac{1}{2}\times 156=78^{\circ}

Hence, measures of angle QRT and angle QST are equal.

Therefore, option A is true.

emmasim [6.3K]4 years ago
3 0

Answer:

A

Step-by-step explanation:

e2020

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