Answer:
∠ 1 = ∠ 2 = 25°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 is an exterior angle of the triangle , then
∠ 1 + ∠ 2 = ∠ 4 , that is
4x - 7 + 8x - 39 = 50
12x - 46 = 50 ( add 46 to both sides )
12x = 96 ( divide both sides by 12 )
x = 8
Then
∠ 1 = 4x - 7 = 4(8) - 7 = 32 - 7 = 25°
∠ 2 = 8x - 39 = 8(8) - 39 = 64 - 39 = 25°
