Question

9. Find m a. 52
b. 38
c. 12
d. 22

Answer 1

∠ ABC = 52° , ∠ CBD = 38°

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°