Question

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

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What is the measure of VU?
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Answer 1

In this context:

`\boxed{\angle VU=60^(\circ)}`

Step-by-step explanation:

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)}`