SOLUTION: Algebra BD bicects <ABC. Solve for x and find m<ABC. (#1). m<ABC=4x-12, m<ABD=24, (#2). m<ABD=3x+20, m<cbd=6x-16

Algebra ->  Angles -> SOLUTION: Algebra BD bicects <ABC. Solve for x and find m<ABC. (#1). m<ABC=4x-12, m<ABD=24, (#2). m<ABD=3x+20, m<cbd=6x-16      Log On


   

Question 498029: Algebra BD bicects
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
1. Since BD bisects ABC, ABD is 1/2 of ABC.
4x -12 = 12
4x = 24
x = 6
4(6) -12 = 12, Which is 1/2 if 24.
This checks.
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2. Again, CBD is half of ABC
3x + 20 = 6x -16
36 = 3x
12 = x
CBD = 6(12) -16 = 56
ABD = 3(12) + 20 = 56
ABC will be 112.
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Cleomenius