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question 7 of 10 in the diagram below, (overleftrightarrow{bd}) is para…

Question

question 7 of 10
in the diagram below, (overleftrightarrow{bd}) is parallel to (overleftrightarrow{xy}). what is the value of (x)?

a. 115
b. 75
c. 125
d. 55

Explanation:

Step1: Identify angle relationship

The angles are corresponding angles (since $\overleftrightarrow{BD} \parallel \overleftrightarrow{XY}$ and cut by a transversal). Corresponding angles are congruent.

Step2: Match congruent angles

The given angle is $125^\circ$, so $x$ equals this angle.
$x = 125^\circ$

Answer:

C. 125