SOLUTION: in &#8710;DEF, the sum of the measures of <D and <E is 110. The sum of the measures of <E and <F is 150. Find the sum of the measures of <D and <F

Algebra ->  Triangles -> SOLUTION: in &#8710;DEF, the sum of the measures of <D and <E is 110. The sum of the measures of <E and <F is 150. Find the sum of the measures of <D and <F      Log On


   

Question 362199: in ∆DEF, the sum of the measures of
Answer by Fombitz(32388) About Me  (Show Source):
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1.D%2BE=110
2.E%2BF=150
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For every triangle,
D%2BE%2BF=180
Substitute from eq. 1,
110%2BF=180
highlight%28F=70%29degrees
Substitute from eq. 2,
D%2B150=180
highlight%28D=30%29degrees
Then from eq. 1,
30%2BE=110
highlight%28E=80%29degrees