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tatiyna
3 years ago
12

Can somebody help me with the geometry equation.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

m\widehat{VU}=120^{\circ}

Step-by-step explanation:

The angle \angle TUV forms arc \widehat{TV}. The measure of this arc is twice the measure of angle \angle TUV, since U is a point on the circle. Since \overline{TU} forms an arc \widehat{TU}, we can set up the following equation:

\widehat{TV}+\widehat{VU}=\widehat{TU}.

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}

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