Question

How do I find it. ..............

Answer 1

∠CBD = 4(4) + 52°

= 16° + 52°

= 68°

Explanation:

Given that,

∠ABC = 8x - 10°

∠CBD = 4x + 52°

Also,

∠ABD = 90°

∠ABD = ∠ABC + ∠CBD

∠ABD (90°) = (4x + 52°) + (8x - 10°)

∠ABD (90°) = 4x + 52° + 8x - 10°

∠ABD (90°) = (4x + 8x) + (52° - 10°)

∠ABD (90°) = 12x + 42°

90° - 42° = 12x

48° = 12x

`(48)/(12)` = x

4° = x

∠CBD = 4x + 52°

∴ ∠CBD = 4(4°) + 52°

= 16° + 52°

= 68°