Answer:
∠ ABC = 52° , ∠ CBD = 38°
Step-by-step explanation:
the 2 angles form a right angle and sum to 90° , that is
∠ ABC + ∠ CBD = 90
4x + 4 + 5x - 22 = 90
9x - 18 = 90 ( add 18 to both sides )
9x = 108 ( divide both sides by 9 )
x = 12
then
∠ ABC = 4x + 4 = 4(12) + 4 = 48 + 4 = 52°
∠ CBD = 5x - 22 = 5(12) - 22 = 60 - 22 = 38°
