4 years ago

Given

Mathematics

1 answer:

kolbaska11 [484]4 years ago

4 0

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°

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