SOLUTION: if ray ACFG and ray BCDE intersect at C and angle ADC is conngruent to angle BFC, then angle ADE is congruent to angle BFG.
Algebra.Com
Question 512636: if ray ACFG and ray BCDE intersect at C and angle ADC is conngruent to angle BFC, then angle ADE is congruent to angle BFG.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
ADC and ADE are a linear pair and are therefore supplementary (the sum of their measures is 180). Same relationship for BFC and BFG.
So mADC + mADE = 180
mBFC + mBFG = 180
Hence mADC + mADE = mBFC + mBFG
But we are given that mADC = mBFC, so substitute:
mBFC + mADE = mBFC + mBFG
Subtract mBFC from both sides
mADE = mBFG : Q.E.D.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
ACFG AND BCDE INTERSECT AT C AND < ADC IS CONGRUENT TO < BFC THEN < ADE IS CONGRUENT <... (answered by Edwin McCravy)
Given: ray BA is congruent to ray BC and angle 1 = angle 3
Prove: angle 2 = 45... (answered by solver91311)
If angle 4 is congruent to angle 3, ray DG bisects angle... (answered by Alan3354)
Given: angle AFE is congruent to angle DEF
ray FC bisects angle AFE
ray... (answered by gonzo)
Given: Line AB is parallel to Line CD; Ray BF bisects Angle ABE; Ray DG bisects Angle CDB (answered by Aswathy)
if line ab is congruent to line ae and angle acb is congruent to angle ade angle b is... (answered by Mathtut)
having trouble solving proof problems. page 71 #10
WRITE A PROOF
ANGLE ABC IS CONGRUENT (answered by venugopalramana)
Ray MP bisects angle LMN. Ray MQ bisects angle LMP, and ray MR bisects angle QMP. If... (answered by Theo)
if the measure of angle ABD=79 degrees what is the measure of angle DBC,the diagram shows (answered by Boreal)
