Angle ABC = 123 degrees, Angle ABD – Angle CBD = 17 degrees. Find the ABD angle and the CBD angle.

Let the values of the angle ABD be equal to X0, then, by condition, X – CBD = 170.

CBD = X – 170.

Angle ABC = ABD + CBD = X + (X – 17) = 123.

2 * X = 140.

X = ABD = 140/2 = 70.

Then the angle CBD = 70 – 17 = 53.

Answer: Angle ABD is 70, angle CBD is 53.



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