Question

Given

Answer 1

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°