Answer:
∠ A = 92° , ∠ C = 130°
Explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here the figure has 6 sides , that is n = 6 , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
sum the interior angles and equate to 720
x + 32 + 105 + 108 + 150 + 2(x + 5) + 135 = 720
x + 32 + 105 + 108 + 150 + 2x + 10 + 135 = 720
3x + 540 = 720 ( subtract 540 from both sides )
3x = 180 ( divide both sides by 3 )
x = 60
Then
∠ A = x + 32 = 60 + 32 = 92°
∠ C = 2(x + 5) = 2(60 + 5) = 2(65) = 130°