Question

Find the m<2 if d | | e , m<7=60°, and m<6=65°

Answer 1

∠ 2 = 55°

Explanation:

∠ 3 and ∠ 7 are alternate angles and are congruent , then

∠ 3 = ∠ 7 = 60°

the sum of the 3 angles in a triangle = 180° , then

∠ 2 + ∠ 3 + ∠ 6 = 180° , that is

∠ 2 + 60° + 65° = 180°

∠ 2 + 125° = 180° ( subtract 125° from both sides )

∠ 2 = 55°