SOLUTION: line CA bisects angle BCF measure of angle ACF =(1/2x+6) measure of angle BCF = x^2 find the measure of angle BCF and the measure of angle ACF

Question 345204: line CA bisects angle BCF
measure of angle ACF =(1/2x+6)
measure of angle BCF = x^2
find the measure of angle BCF and the measure of angle ACF
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
ACF =(1/2x+6)
BCF = x^2
BCF=2(x/2+6)
x^2=2(x/2+6)
x^2=x+12
x^2-x-12=0
(x-4)(x+3)=0
x-4=0
x=4
ACF=4/2+6=2+6=8 DEGREES.
BCF=4^2=16 DEGREES.
PROOF:
4^2=2(4/2+6)
16=2(2+6)
16=2*8
16=16

RELATED QUESTIONS
In the diagram below, Angle DCE=Angle ACB, Angle BCF is a right angle, and CE ⊥ AB.... (answered by math_tutor2020,Edwin McCravy)

A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find angle (answered by greenestamps)

In the diagram, ABE, ADF, BCF and DCE are straight lines. Angle AED = 30 degrees and... (answered by ikleyn)

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

in the ff. angle 5 and angle 7 are supplementary give the measure of each angle 1.)... (answered by stanbon)

AB, DE and CF AB||DE CG bisects BCF FG bisecs CFE Prove (answered by ikleyn)
Angle L & angle M are complementary; Angle N & angle P are complementary. -If the... (answered by stanbon)
I need help please 1) angle ABC and angle DEF are supplementary angles. The measure of... (answered by ramkikk66)
Given: measure of angle 1 = measure of angle 2 Prove: ray EG bisects angle DEF (answered by richard1234)