SOLUTION: In triangle FGH, angle F is twice as large as angle G and angle G is 3 times angle H. Find angle G.

Algebra ->  Angles -> SOLUTION: In triangle FGH, angle F is twice as large as angle G and angle G is 3 times angle H. Find angle G.      Log On


   

Question 955099: In triangle FGH, angle F is twice as large as angle G and angle G is 3 times angle H. Find angle G.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
F,G, an H are angles of a triangle
G=3H
F=2G=6H
F+G+H=180degrees Substitute for F and G.
6H+3H+H=180degrees
10H=180degrees
H=18degrees Angle H is 18 degrees.
F=6H=6(18)=108degrees Angle F is 108 degrees.
G=3H=3(18degrees)=54degrees ANSWER: Angle G is 54 degrees.
CHECK:
F+G+H=180 degrees
108degrees+54degrees+18degrees=180degrees
180degrees=180degrees