Question

Angle m AOC=108° m AOB=3x+4° m BOC=8x-28°

Find m AOB

Answer 1

Hello from MrBillDoesMath!

Answer:

40

Discussion:

A diagram is always appreciated!

Assuming that

mAOC = mAOB + mBOC =>

108 = (3x + 4) + (8x - 28) => combine common terms

108 = (3x + 8x) + (4 - 28 ) =>

108 = 11x - 24 => add 24 to both sides

132 = 11x =>

x = 132/11 = 12

So mAOB = 3x + 4 = 3(12) + 4 = 36 + 4 = 40

Thank you,

MrB