Question

in the figure, two lines intersect at a point. if r = 48, what is the value of s? note: figure not drawn to scale. a 42 b 48 c 138 d 228

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. When two lines intersect, the opposite (vertical) angles are congruent.

Step2: Identify vertical angles

In the given figure, \(r\) and \(s\) are vertical angles.

Step3: Determine the value of \(s\)

Since \(r = 48\) and \(r=s\) (vertical - angle property), then \(s = 48\).

Answer:

B. 48