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marusya05 [52]
3 years ago
15

On circle O below, the measure of SV is 120°.

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
<h2>Answer:</h2><h2 />

<em>In this context:</em>

<h2 /><h2>\boxed{\angle VU=60^{\circ}}</h2>

<h2>Explanation:</h2><h2 />

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the diagram shown below. Both ∠SV and ∠VU are central angles. This is an angle between two radii in a circle. Another fact we know is that ∠SU measures 180 degrees so it is true that:

\angle SV + \angle VU=\angle SU \ldots eq1 \\ \\ \\ But: \\ \\ \angle SV=120^{\circ} \\ \\  \angle SU=180^{\circ} \\ \\ \\ Substituting \ into \ eq1: \\ \\ 120^{\circ}  + \angle VU=180^{\circ} \\ \\ \\ Isolating \  \angle VU: \\ \\ \angle VU=180^{\circ}-120^{\circ} \\ \\ \boxed{\angle VU=60^{\circ}}

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