Question

If Ej bisects ZH&J, solve for z. A. X= 41 B. X=47 C. X= 48 D. X= 49

Answer 1

Answer:

x = 47

Step-by-step explanation:

Bisect means split in half.

If El bisects ∠HEJ then the angles that are created from the bisected segment are congruent

Hence, ∠HEl = ∠JEI

If ∠HEl = x + 3 and ∠JEl = 3x - 91

and the two are congruent

then x + 3 = 3x - 91

Note that we've just created an equation that we can use to solve for x

we now solve for x

x + 3 = 3x - 91

add 91 to both sides

x + 3 + 91 = 3x - 91 + 91

x + 94 = 3x

subtract x from both sides

x - x + 94 = 3x - x

94 = 2x

divide both sides by 2

94/2 = 47

2x/2=x

we're left with x = 47