Question

question 5 of 10
in the diagram below, \\( \overline { b d } \\) is parallel to \\( \overline { x y } \\). what is the value
of \\( x? \\)

a. 83
b. 73
c. 87
d. 97

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, the sum of the interior angles on the same side is \(180^{\circ}\). So, \(x + 83=180\).

Step2: Solve for \(x\)

Subtract \(83\) from both sides of the equation: \(x=180 - 83\).

Answer:

D. 97