Question

Determine the measure of angle uvs

Answer 1

the angle measure is 78/2 degrees. that would simplify down to 39 degrees. I don't remember the theroem but I do know that the angle is half the side length angle measure

Answer 2

`m\angle UVS=39^o`

Explanation:

We have been given an image of a circle and we are asked to find the measure of angle UVS.

We can see that angle UVS is an inscribed angle of our given circle and it intercepts to arc US.

Since we know that the measure of inscribed angle is half the measure of its intercepted arc.

`m\angle UVS=(1)/(2)* \text{Measure of arc US}`

`m\angle UVS=(1)/(2)* 78^o`

`m\angle UVS=39^o`

Therefore, the measure of angle UVS is 39 degrees.