Answer:
∠ T = 103° , ∠ U = 104°
Step-by-step explanation:
STUV is a cyclic quadrilateral , its 4 vertices lie on the circle
In a cyclic quadrilateral
• opposite angles are supplementary ( sum to 180° )
∠ T and ∠ V are opposite angles , then
∠ T + ∠ V = 180° , that is
∠ T + 77° = 180° ( subtract 77° from both sides )
∠ T = 103°
Also
∠ U and ∠ S are opposite angles, then
∠ U + ∠ S = 180° , that is
∠ U + 76° = 180° ( subtract 76° from both sides )
∠ U = 104°
