SOLUTION: Given: Line AB is perpendicular to line BC. Ray BD bisects angle ABC. Measure of angle ABD is x + 5y Measure of DBC is 2x + 2y + 3. Find x and y.

Algebra ->  Angles -> SOLUTION: Given: Line AB is perpendicular to line BC. Ray BD bisects angle ABC. Measure of angle ABD is x + 5y Measure of DBC is 2x + 2y + 3. Find x and y.      Log On


   

Question 349499: Given: Line AB is perpendicular to line BC.
Ray BD bisects angle ABC.
Measure of angle ABD is x + 5y
Measure of DBC is 2x + 2y + 3.
Find x and y.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
ABD=DBC
x%2B5y=2x%2B2y%2B3
1.-x%2B3y=3
.
.
.
ABD%2BDBC=90
x%2B5y%2B2x%2B2y%2B3=90
2.3x%2B7y=87
From eq. 1,
x=3y-3
Substitute into eq. 2,
3%283y-3%29%2B7y=87
9y-9%2B7y=87
16y=96
highlight%28y=6%29
Then from eq. 1,
x=3%286%29-3
highlight%28x=15%29