Answer:
∠ 6 = 59°
Explanation:
∠ 3 and ∠ 8 are same- side interior angles and sum to 180° , that is
∠ 3 + ∠ 8 = 180°
121° + ∠ 8 = 180° ( subtract 121° from both sides )
∠ 8 = 59°
∠ 8 and ∠ 6 are vertically opposite angles and are congruent , then
∠ 6 = 59°