Question

Line XY bisects segment RS at E. If segment RE = x + 15 and SE = 2x - 8, find the value of x.

Answer 1

x = 23

Explanation:

Segment bisector, XY, divides segment RS into two equal parts, RE and SE. Therefore, it follows that, RE and SE are congruent.

RE = x + 15

SE = 2x - 8,

To find the value of x, set RE equal to SE to get an equation.

Thus:

x + 15 = 2x - 8

Collect like terms

x - 2x = -15 - 8

-x = -23

Divide both sides by -1

x = 23