Question

Given

mZAOC is a straight angle.
MZAOB = 8x + 51°
mZBOC = 6x - 25°
Find mZAOB=

Answer 1

∠ AOB = 139°

Explanation:

Since AOC is a straight line then

∠ AOB + ∠BOC = 180° , that is

8x + 51 + 6x - 25 = 180

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Then

∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°