SOLUTION: In "triangle DEF", m<E is three times m<D and m<F is 9 less than m<E. What is the measure of each?

Algebra ->  Triangles -> SOLUTION: In "triangle DEF", m<E is three times m<D and m<F is 9 less than m<E. What is the measure of each?      Log On


   

Question 491672: In "triangle DEF", m
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
Angle D = x
Angle E = 3x
Angle F = 3x - 9
====================================
x + 3x + 3x -9 = 180
7x = 189
x = 27
==================================
Angle D = 27 Degrees
Angle E = 81 Degrees
Angle F = 72 Degrees
=================================
27 + 81 + 72 = 180 Degrees.
This does check.
Cleomenius.