Answer:
m UW = 158°
Step-by-step explanation:
TUVW is a cyclic quadrilateral
• opposite angles are supplementary
∠ T and ∠ V are opposite angles , then
∠ T + ∠ V = 180°
∠ T + 101° = 180° ( subtract 101° from both sides )
∠ T = 79°
The measure of the inscribed angle UTW is half the measure of its intercepted arc UW or
UW = 2 × ∠ UTW = 2 × ∠ T = 2 × 79° = 158°
