Answer:
∠CBD = 125°
Step-by-step explanation:
The angle sum theorem tells you that ...
∠ABC +∠CBD = ∠ABD
8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°
17x -24° = 180° . . . simpify
17x = 204° . . . . . . add 24°
x = 12° . . . . . . . . . . divide by 17
Now the measures of the angles can be found from their expressions.
∠ABC = 8(12) -41° = 55°
∠CBD = 9(12) +17° = 125°
