Question

find the value of x.
11.
$5x - 6$
$3x + 8$
12.
$2x + 24$
$5x - 30$

Explanation:

Step1: Solve for x (Problem 11)

The segments from the angle bisector to the sides are equal, so set $5x-6=3x+8$.
$5x - 6 = 3x + 8$
$5x - 3x = 8 + 6$
$2x = 14$
$x = 7$

Step2: Solve for x (Problem 12)

The segments from the angle bisector to the sides are equal, so set $2x+24=5x-30$.
$2x + 24 = 5x - 30$
$24 + 30 = 5x - 2x$
$54 = 3x$
$x = 18$

Answer:

1. $x=7$
2. $x=18$