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question 9 of 10 in the diagram below, \\overleftrightarrow{de} is para…

Question

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

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description

a. 85
b. 105
c. 75
d. 125

Explanation:

Step1: Identify angle relationship

$\angle 85^\circ$ and $x^\circ$ are corresponding angles formed by a transversal cutting parallel lines $\overleftrightarrow{DE}$ and $\overleftrightarrow{XY}$.

Step2: Apply corresponding angles postulate

Corresponding angles for parallel lines are congruent, so $x = 85$.

Answer:

A. 85