Question

question 9 of 10
in the diagram below, \overleftrightarrow{bd} is parallel to \overleftrightarrow{xy}. what is the value of y?

a. 70
b. 130
c. 20
d. 110

Explanation:

Step1: Identify supplementary angle

The 70° angle and its adjacent angle on line $\overleftrightarrow{XY}$ are supplementary.
$180^\circ - 70^\circ = 110^\circ$

Step2: Apply parallel lines rule

The $110^\circ$ angle and $y$ are corresponding angles (since $\overleftrightarrow{BD} \parallel \overleftrightarrow{XY}$), so they are equal.
$y = 110^\circ$

Answer:

D. 110