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question 5 of 10 in the diagram below, (overline{bd}) is parallel to (o…

Question

question 5 of 10 in the diagram below, (overline{bd}) is parallel to (overline{xy}). what is the value of (x)?

Explanation:

Step1: Recall parallel - line property

When two parallel lines are cut by a transversal, corresponding angles are equal. The angle of 125° and the angle labeled \(x^{\circ}\) are corresponding angles.

Step2: Set up the equation

Since corresponding angles are equal for parallel lines \(BD\) and \(XY\) cut by a transversal, we have \(x = 125\).

Answer:

D. 125