SOLUTION: If m<EHF=2x-9, m<FHG=3x=12, and m<EHG=2x+78, then solve for x and m<EHG.

Algebra ->  Angles -> SOLUTION: If m<EHF=2x-9, m<FHG=3x=12, and m<EHG=2x+78, then solve for x and m<EHG.      Log On


   

Question 498550: If m
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
Angles EHF and FHG = angle EHG.
2x - 9 + 3x - 12 = 2x + 78
5x - 21 = 2x + 78
3x = 99
x = 33
EHF = 2(33) - 9 = 57 degrees.
FHG = 3(33) - 12 = 87 degrees.
EHG = 2(33) + 78 = 144 degrees.
57 + 87 = 144 degrees.
This does check.
Cleomenius.