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.

Question 493817: D is in the interior of
Answer by cleomenius(959) (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.
RELATED QUESTIONS
a. The measure of angle CBD is 10 less than twice the measure of angle ABD. If D is in... (answered by jojo14344)

If m-angle ABC= 85 and m-angle ABD= 37, find the m-angle... (answered by JBnovelwriter,ikleyn)

given m (answered by cleomenius)
If m∠ABC=85, m∠ABD=x+30, and m∠CBD=2x+10, what is m∠CBD?... (answered by Fombitz)
Algebra BD bicects (answered by cleomenius)
ray BD is the bisector of angle ABC. If measure angle ABD = 2x+14 and measure angle CBD = (answered by Fombitz)
BD is the angle bisector of ABC. If ABD= 2x+14 and CBD= 5x-10, what is the measure of... (answered by Fombitz)
If angle ABD = (3x + 15)� and angle ABC = 94�, and angle CBD = (x + 7)�, what is the... (answered by cleomenius)
If m ∠ ABC = 2x + 20 and ∠ CBD = 5x -15 find the value of x so that ∠... (answered by scott8148)