BE bisects angle ABD m angle ABE = (6x+2) and m angle DBE = (8x-14) find x and m angle ABE

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°

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step-by-step explanation:

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