Question

question 7 of 10
in the diagram below, \overleftrightarrow{bd} is parallel to \overleftrightarrow{xy}. what is the value of y?
click here for long
description
a. 37
b. 23
c. 67
d. 113

Explanation:

Step1: Identify angle relationship

The angle $y$ and the $67^\circ$ angle are corresponding angles, since $\overleftrightarrow{BD} \parallel \overleftrightarrow{XY}$ and cut by a transversal.

Step2: Apply corresponding angles postulate

Corresponding angles formed by parallel lines and a transversal are congruent.
$y = 67^\circ$

Answer:

C. 67