Asked by Sandra

If /BC bisects ÚABD, and ÚABC = 5x + 11, ÚCBD = 10x − 4, then find x.
5
3
1
2
I am having trouble with this one, please help.
Answered by Reiny
Your symbols did not come out as you expected, but I concluded that you said:

line BC bisects angle ABD, and angle ABC = 5x+11, angle CBD = 10x-4

so the two angles are equal, or
10x-4 = 5x+11
5x = 15
x = 3

check: angle ABC = 5(3) + 11 = 26
angle CBD = 10(3) - 4 = 26
YUP!!!
Answered by Sandra
Thanks much, I did figure it out and appreciate your explanation.
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