Question

I am just completely lost and am unsure of how to approach this problem.

Please help, Thank you!

Answer 1

68°

Explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

⇒ 90° = 4x + 52° + 8x - 10°

⇒ 12x = 48°

⇒ x = 4°

now,

∠CBD = 4x + 52°

= 4(4°) + 52°

= 68°