SOLUTION: D is in the interior of <ABC. m<ABD=x^2-9x, m<CBD=2x, and m<ABC=60. Find the measure of <ABD and <CBD.

Algebra ->  Angles -> SOLUTION: D is in the interior of <ABC. m<ABD=x^2-9x, m<CBD=2x, and m<ABC=60. Find the measure of <ABD and <CBD.      Log On


   

Question 493817: D is in the interior of
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
we know angles ABD and angles CBD = angle ABC = 60.
x^2 -7x +2x = 60
x^2 -5x - 60 = 0
(x + 5)(x - 12) = 0
Therefore, x = 12.
12*12 = 144 - 108 = 36 degrees
2(12) = 24 degrees
24 + 36 = 60 degrees.
Cleomenius.