Question

in the figure below, line segment \\( \overline { y w } \\) is a bisector of line segment \\( \overline { x z } \\). \\( x z = 60 \\) centimeters. what is the length of \\( \overline { e x } \\), in centimeters?
a 20
b 30
c 40
d 50

Explanation:

Step1: Recall the property of a bisector

A bisector divides a line segment into two equal parts. So, \( EX=\frac{1}{2}XZ \).

Step2: Substitute the value of \( XZ \)

Given \( XZ = 60 \) centimeters. Substituting into the formula \( EX=\frac{1}{2}\times60 \).

$$ EX = 30 $$

Answer:

B. 30