Question

HELP ME PLEASE In a given diagram below, ray AB bisects angle FAE. BF = 2x + 8 and BE = 42.


A. Set up an equation to solve for "x".


B. Show your work and solve for "x".

Answer 1

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The value of x is 17.

What is an angle?

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Since the ray AB bisects, the ∠FAE. Therefore, the measure of ∠FAB and ∠EAB will be equal. As these two angles are equal, the length of line BF and BE will be equal.

BF = BE

2x+8=42

2x=42-8

2x=34

x = 17

Hence, the value of x is 17.

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