SOLUTION: ray BD is the bisector of angle ABC. If measure angle ABD = 2x+14 and measure angle CBD = 5x-10, what is the measure of angle ABD?

Algebra ->  Angles -> SOLUTION: ray BD is the bisector of angle ABC. If measure angle ABD = 2x+14 and measure angle CBD = 5x-10, what is the measure of angle ABD?      Log On


   



Question 354818: ray BD is the bisector of angle ABC. If measure angle ABD = 2x+14 and measure angle CBD = 5x-10, what is the measure of angle ABD?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since the angle is bisected.
ABD=CBD
2x%2B14=5x-10
3x=24
x=8
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.
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ABD=CBD=2%288%29%2B14
ABD=CBD=16%2B14
highlight%28ABD=CBD=30%29