Answer:
x = 5
Step-by-step explanation:
The information given has been sketched out in the attachment below.
Line segment EJ is an angle bisector of angle DEF. Therefore, m<DEJ = m<JEF.
The equation to find x would be expressed as follows:
5x + 7 = 8x - 8
Subtract 5x from each side (subtraction property of equality)
5x + 7 - 5x = 8x - 8 - 5x
5x - 5x + 7 = 8x - 5x - 8
0 + 7 = 3x - 8
7 = 3x - 8
Add 8 to both sides of the equation (addition property of equality)
7 + 8 = 3x - 8 + 8
15 = 3x
Divide both sides by 3
15/3 = 3x/3
5 = x
x = 5
