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QUESTION IMAGE

given a || c, find the value for x, name the angle pair and relationshi…

Question

given a || c,
find the value for x, name the angle pair and relationship.
x=
(because
(name the angle pair) are
(congruent or supplementary)

Explanation:

Step1: Identify the relationship between angles

Since \(a\parallel b\parallel c\), and \(d\) and \(e\) are transversals. The angle \(x\) and the \(80^{\circ}\) angle are corresponding angles.

Step2: Use the property of corresponding angles

Corresponding angles formed by parallel lines and a transversal are congruent. So \(x = 80\)

Answer:

\(x = 80\), because corresponding angles are congruent.