Question

Ray BE bisects ∠ABC. If m∠ABE = (2x + 7)° and m∠CBE = (5x − 8)°, what is m∠ABE? 5° 17° 33° 34°

Answer 1

Answer:

17

Step-by-step explanation:

Since we know ABC is being bisected by BE, ABC's two parts, ABE and CBE, are equal halves of ABC, so:

ABE = CBE
2x + 7 = 5x - 8
2x + 7 + 8 = 5x - 8 + 8
2x + 15 = 5x
2x + 15 - 2x = 5x - 2x
15 = 3x
15/3 = 3x/3
5 = x

Now that we know x = 5, we can plug x° in for ABE

2(5) + 7
10 + 7
17