Answer:
C) ∠TVU = 54 degree.
Step-by-step explanation:
Given : Figure with angle 120 and 12 degree.
To find : Measures of ∠TVU.
Solution : We have given a circle with two secant VU and VT.
Arc UT make angle 120 degree and arc SR make an angle 12 degree.
Angle formed by two secant = [tex]\frac{1}{2}[/tex] (DIFFERENCE of Intercepted Arcs).
∠TVU = [tex]\frac{1}{2}[/tex] ( 120 - 12 ).
∠TVU = [tex]\frac{1}{2}[/tex] ( 108 ).
∠TVU = 54 degree.
Therefore, C) ∠TVU = 54 degree.
