SOLUTION: Triangle ABC has an exterior angle, < DAB, and two remote interior angles, < B and < C. If m < DAB= 11x+13, m <B= 7x-7 and m < C= 9x, solve x and find m <A, m < B, m < C and m < DA

Algebra ->  Triangles -> SOLUTION: Triangle ABC has an exterior angle, < DAB, and two remote interior angles, < B and < C. If m < DAB= 11x+13, m <B= 7x-7 and m < C= 9x, solve x and find m <A, m < B, m < C and m < DA      Log On


   

Question 769301: Triangle ABC has an exterior angle, < DAB, and two remote interior angles, < B and < C. If m < DAB= 11x+13, m
Answer by MathLover1(20855) About Me  (Show Source):
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Triangle ABC has an exterior angle, < DAB, and two remote interior angles, < B and < C.
by definition, < DAB=< B+ < C
If m < DAB=+11x%2B13, m < B=+7x-7 and m < C=+9x, then
11x%2B13=7x-7%2B9x
solve x
11x%2B13=16x-7
7%2B13=16x-11x
20=5x
x=4
so, m < DAB=+11x%2B13 => m < DAB=+11%2A4%2B13 => m < DAB=+57
m < B=+7x-7 => m < B=+7%2A4-7 => m < B=+21
m < C=+9x => m < C=+9%2A4 => m < C=+36