Question

Can anyone explain to me how to do this?

Answer 1

x = 12

Explanation:

The angle formed by two chords is half the sum of the intercepted arc angles.

m∠UST = ½ (mVL + mUT)

5x + 18 = ½ (66 + 8x − 6)

10x + 36 = 60 + 8x

2x = 24

x = 12