Answer:
∠ 2 = 122°
Step-by-step explanation:
given ∠ 2 = 2 ∠ 1 + 6
a linear pair of angles sum to 180° , then
∠ 1 + ∠ 2 = 180° , that is
∠ 1 + 2∠ 1 + 6 = 180° ( subtract 6 from both sides )
3∠ 1 = 174° ( divide both sides by 3 )
∠ 1 = 58° , then
∠ 2 = 180° - 58° = 122°
