Question

Find the measure of the indicated angle.

101°
62.5°
113°
50.5°
101.
S
T
V
P
125
U

Answer 1

? = 113°

Explanation:

the chord- chord angle TVU is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, then

∠ TVU =
`(1)/(2)` (UT+PS) =
`(1)/(2)` (125 + 101)° =
`(1)/(2)` × 226° = 113°