Question

question 3 of 10
in the diagram below, \\( \overline { b d } \\) is parallel to \\( \overline { x y } \\). what is the value of \\( x \\)?
a. 55
b. 115
c. 75
d. 125

Explanation:

Step1: Use the property of adjacent angles

The adjacent angle of \(125^{\circ}\) is \(180 - 125=55^{\circ}\).

Step2: Use the property of parallel lines and corresponding angles

Since \(\overline{BD}\parallel\overline{XY}\), \(x = 180-55\).
$$x = 125$$

Answer:

D. 125