Answer:
∠ 1 = 150°
Step-by-step explanation:
(8x - 2)° and (5x + 10)° are vertical angles and are congruent (equal), then
8x - 2 = 5x + 10 ( subtract 5x from both sides )
3x - 2 = 10 ( add 2 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Then
5x + 10 = 5(4) + 10 = 20 + 10 = 30
(5x + 10)° and ∠ 1 are a linear pair abd sum to 180° , that is
∠ 1 + 30° = 180° ( subtract 30° from both sides )
∠ 1 = 150°
