Questions on Word Problems: Geometry answered by real tutors!

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Question 150858This question is from textbook
: In triangle DEF, mThis question is from textbook
: In triangle DEF, m
Answer by mangopeeler07(429) About Me  (Show Source):
You can put this solution on YOUR website!
2e=3f
d=100

d+e+f=180
100+e+f=180
e+f=80

Solve for e
e=80-f

Plug that in
2(80-f)=3f

Distribute
160-2f=3f

Add 2f to both sides
160=5f

Divide both sides by 5
32=f

80-32=48
48=e

Angle E= 48 degrees
Angle F= 32 degrees