Question

In order to find the correct answer, please use the following image:

Find m VU. (The symbol is in the image below)

What is the degree measurement of m VU? (The symbol is in the image below)

Please show all the work on how you got your answer.(If you don't have an explanation, it's fine. All I am asking for is for you to show me all the work on how you got your answer)

Answer 1

120 degrees

Explanation:

Angle U is the inscribed angle of arc TV. Since an inscribed angle is always half the measure of its intercepted arc and here, the intercepted arc is TV, then we know that TV = 2 * 30 = 60 degrees.

Arc TU is just half the circle, so it's 180 degrees. Arc TV + Arc VU = Arc TU. We know that Arc TU = 180 and Arc TV = 60, so Arc VU = 180 - 60 = 120 degrees.

Hope this helps!