x = 4
-- All angles of a triangle add up to 180° --
-- the inverse of a trianglenis equal to its opposite angle of intersection--
1) build equation
180° = 20° + (4 + 6x) + (32x + 4)
2) solve
180-20 = 4 + 6x + 32x + 4
160 = 8 + 38x
152 = 38x
152/38 = x
x = 4
verify
180 = 20 + (4 + 6x) + (32x + 4)
180 = 20 + (28) + (132)
180 = 180 so x = 4