CPM Homework Help : INT2 Problem 6-66

In the diagram below, $\overrightarrow { B D }$ bisects $∠ABC$ . If $m∠ABD = 3x + 24°$ and $m∠CBD = 5x + 2°$ , solve for $x$ . Then determine $m∠ABC$ .

Hint:

Using the definition of an angle bisector we know the two angles are congruent and the two expressions are equal.

3 rays starting from a common point, labeled, b, top ray extends through a point labeled, a, middle ray extends through a point labeled, d, & bottom ray extends through a point labeled, c.