SOLUTION: Hi please help me with this problem: If line segment BC bisects angle ABD and angle ABD=106 degrees, find x and y. angle ABC=(5x-y) angle CBD=(4x+2y+19)

Question 913388: Hi please help me with this problem: If line segment BC bisects angle ABD and angle ABD=106 degrees, find x and y.
angle ABC=(5x-y)
angle CBD=(4x+2y+19)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If line segment BC bisects angle ABD and angle ABD=106 degrees, find x and y.
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angle ABC=(5x-y) = 53 degree
angle CBD=(4x+2y+19) = 53 degree
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5x - y = 53
4x + 2y = 34
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Modify for elimination:
5x - y = 53
2x + y = 17
------
7x = 70
x = 10
---
Solve for "y"::
5x - y = 53
y = 5x - 53
y = 50 - 53
y = -3
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Cheers,
Stan H.
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