Answer:
D
Step-by-step explanation:
given VS is a diameter of the circle. then VS is a straight angle of 180°
The 3 angles below VS , sum to 180° , that is
x + 46° + 96° = 180° ( simplify left side )
x + 142° = 180° ( subtract 142° from both sides )
x = 38
The 3 angles above VS , sum to 180° , that is
22° + ∠ WQR + x° = 180° ( substitute x = 38 )
22° + ∠ WQR + 38° = 180°
∠ WQR + 60° = 180° ( subtract 60° from both sides )
∠ WQR = 120°
