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.

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.Com

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) (Show Source): You can put this solution on YOUR website!

1.
.
.
.

2.
From eq. 1,

Substitute into eq. 2,

Then from eq. 1,

RELATED QUESTIONS
The ray BC bisects angle ABD and m angle ABD is 42 degrees. What is the measure of angle... (answered by cleomenius)

angle ABC is 25 degrees angle ABD = 2x-y angle DBC = 3y-x ray BD bisects angle ABC... (answered by stanbon)

ray BD is the bisector of angle ABC. If measure angle ABD = 2x+14 and measure angle CBD = (answered by Fombitz)

BD bisects Angle ABC. Find the value of x. Angle ABD is x+15 and Angle DBC is... (answered by Fombitz)

I was given a triangle, Labeled ABC, which is bisected by line BD, to create two smaller... (answered by lynnlo,solver91311)

Given: segment BA congruent to segment BC, Ray BD bisects angle ABC Prove: D is the... (answered by solver91311)

I have a picture with segment XY is perpendicular to segment YW. Ray YZ forms two angles (answered by ankor@dixie-net.com)

Line BD bisects angle ABC, angle ABC = 9x. Angle ABD = 4x + 13. Find angle... (answered by josgarithmetic,ikleyn)

Given: Ray BX bisects angle ABC, the measure of angle ABX is 45�. Prove: Angle ABC is a... (answered by Theo)