Answer:
x = 8
m<ABE = 50°
Step-by-step explanation:
Since BE is a bisector of <ABD, it implies that two angles, <ABE and <DBE formed are equal.
Given that m<ABE = (6x + 2)°, and m<DBE = (8x - 14)°, therefore:
6x + 2 = 8x - 14
Solve for x
-2x + 2 = -14 (subtracting 8x from both sides)
-2x = -16 (subtracting 2 from both sides)
x = 8 (dividing both sides by -2)
m<ABE = (6x + 2)°
Replace x with 8
m<ABE = 6(8) + 2 = 48 + 2
m<ABE = 50°
