Question

BÉ is an angle bisector of ZABC.

If mŁABE = 2x + 20 and mZEBC = 4x - 6,
determine the value of x.
B.
x = [? ]

Answer 1

x=13

Explanation:

Given that BE is an angle bisector of ∠ABC, we know that ∠ABE = ∠EBC. Therefore, we can set the measures of these angles equal to each other and solve for x:

2x + 20 = 4x - 6

Solving this equation for x, we subtract 2x from both sides to get:

20 = 2x - 6

Then, add 6 to both sides to isolate the variable term:

26 = 2x

Finally, divide both sides by 2 to solve for x:

x = 26 / 2 = 13

Answer 2

angle bisector makes the two split parts equal to each other:
2x+20=4x-6
2x+26=4x
26=2x
x=13