The measure of m ∠ABE is 17 degrees.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.
As, <ABC is bisected by BE,
<ABE = <CBE= 1/2 <ABC
<ABE = <CBE
2x + 7 = 5x - 8
Adding 8 on both side
2x + 7 + 8 = 5x - 8 + 8
2x + 15 = 5x
Now, subtract 2x from both sides
2x + 15 - 2x = 5x - 2x
15 = 3x
Now, divide by 3
15/3 = 3x/3
5 = x
Now, <ABE= 2(5) + 7 = 17
Hence, The measure of m ∠ABE is 17 degrees.
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