Answer:
∠CBD = 4(4) + 52°
= 16° + 52°
<u>= 68°</u>
Step-by-step 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
= x
4° = x
∠CBD = 4x + 52°
∴ ∠CBD = 4(4°) + 52°
= 16° + 52°
= 68°