Exercise 31 Page 605

Let's analyze the given figure.

Since we are given a triangle with a segment that is bisecting one of the angles, we can use the Triangle Angle Bisector Theorem.

This theorem tells us that the two segments opposite the bisected angle are proportional to the two other sides of the triangle. We are given the expressions for the lengths of these sides and segments, so we can write a proportion. 8/18-8 = x/15 Let's solve.