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