Question

Solve for x. Note: Figure not drawn to scale.

AA
B
8
X
24.6°
C
D

Answer 1

x = 65.4°

Explanation:

the 2 angles x and 24.6° form ∠ ABD , that is

∠ ABC + ∠ CBD = ∠ ABD ( substitute values )

x + 24.6° = 90° ( subtract 24.6° from both sides )

x = 65.4°