Answer:
13 is the value of x.
Step-by-step explanation:
Since angles ABE and EBC have equal measurement because ABC was bisected by BE, then we have the following equation:
2x+20=4x-6.
Subtract 2x on both sides:
20=2x-6
Add 6 on both sides:
26=2x
Divide both sides by 2:
26/2=x
Simplify:
13=x
So x=13.
Because BE is an angle bisector, that means it cuts angle ABC perfectly in half.
That means that m<ABE must be equal to m<EBC.
Set the two expressions equal to eachother and solve for X.
2x+20=4x-6
