SOLUTION: Given: CE bisects angle DCF measure of angle DCE = 2x+3y measure of ECF = 3x-y+2 measure of DCF = 80 find x and y

Question 712254: Given: CE bisects angle DCF
measure of angle DCE = 2x+3y
measure of ECF = 3x-y+2
measure of DCF = 80
find x and y
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Those facts mean that 80 degrees is the sum of the measures of both angles, and the two angles resulting from the bisection are equal sizes.

and , two equations and two variables.

Work on each to change into standard form, Ax+By=C and then use substitution or elimination to solve for x and y.

The "80" equation:

, Use this equation in your system to solve.

The two equal angles equation:

, And use this equation in your system to solve.

You can finish the work.
RELATED QUESTIONS
In triangle DCE, DC = CE = 6, measure of angle E = 53�. Find DE. (answered by Boreal)

measure of angle 1 is (2x-3y) and measure of angle 2 is (x+3y) what does x and y... (answered by checkley77)

In equilateral triangle DEF, measure of angle D=3x+y, measure of angle E= 2x+40, and... (answered by stanbon)

Ray SU bisects angle RST. The measure of angle RSU=3x-1, the measure of angle UST=2x+13... (answered by cleomenius)

Line segment Xy bisects angle FXG. Th emeasure of angle YXF= 5x + 3y degrees. the measure (answered by ccs2011)

line CA bisects angle BCF measure of angle ACF =(1/2x+6) measure of angle BCF = x^2 (answered by checkley77)

Given: Line AB is perpendicular to line BC. Ray BD bisects angle ABC.... (answered by Fombitz)

Given: measure of angle 1 = measure of angle 2 Prove: ray EG bisects angle DEF (answered by richard1234)

(answered by cleomenius)