Answer:
x = 10
Step-by-step explanation:
DE = EF, GE = GE, m∠D = m∠F = 90°
so
ΔDGE = ΔFGE
then
3x + 8 = 5x - 12
3x - 5x = -12 - 8
-2x = -20
2x = 20
Since DE=FE, we know GE is angle bisectors of angle G.
Thus, set those two expressions equal to each other.
3x+8= 5x-12
20=2x
x=10
