Question

question 2 of 10
in the diagram below, \overleftrightarrow{bd} is parallel to \overleftrightarrow{xy}. what is the value of y?
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description
a. 67
b. 113
c. 23
d. 37

Explanation:

Step1: Identify supplementary angle

The 87° angle and its adjacent angle on line $\overleftrightarrow{XY}$ are supplementary.
$180 - 87 = 93$ (This step clarifies the adjacent angle, but we use the corresponding angle rule directly for $y$)

Step2: Use corresponding angles property

Since $\overleftrightarrow{BD} \parallel \overleftrightarrow{XY}$, $y$ is supplementary to the 87° angle (corresponding supplementary angles).
$y = 180 - 87 = 113$

Answer:

B. 113