Question

question 4 of 10
in the diagram below, \\(\overleftrightarrow{de}\\) is parallel to \\(\overleftrightarrow{xy}\\). what is the value of \\(x\\)?
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a. 65
b. 115
c. 105
d. 85

Explanation:

Step1: Identify angle relationship

The given 115° angle and \(x\) are corresponding angles, since \(\overleftrightarrow{DE} \parallel \overleftrightarrow{XY}\) and cut by a transversal.

Step2: Apply corresponding angles postulate

Corresponding angles formed by parallel lines and a transversal are congruent.
\(x = 115\)

Answer:

B. 115