Question

Rays BA and BC are opposite rays, ray BF bisects angle CBE and ray BD bisects angle ABE. If m<2 = 8y+4 and m<1 = 12y-36, find the measure of angle ABE.

Answer 1

8y + 4 = 12y - 36

4y = 40

y = 10

measure of ABE = 8(10) + 4 + 12(10) - 36

= 80 + 4 + 120 - 36

= 168°