Answer:
∠ 1 = 36° , ∠ 2 = 144°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is
x + 12 + 6x = 180
7x + 12 = 180 ( subtract 12 from both sides )
7x = 168 ( divide both sides by 7 )
x = 24
Then
∠ 1 = x + 12 = 24 + 12 = 36°
∠ 2 = 6x = 6 × 24 = 144°
