Question

which of the following statements about the image below is true? line ur and line vs are perpendicular. the measure of ∠swx is 72°. line ur and line vw are parallel. ∠swr and ∠wrs are supplementary.

Explanation:

Step1: Analyze each option

• Option 1: There is no indication that Line \(UR\) and Line \(VS\) are perpendicular.
• Option 2: \(\angle SWX\) and the \(72^{\circ}\) angle are vertical angles. Vertical angles are equal.
• Option 3: There is no evidence that Line \(UR\) and Line \(VW\) are parallel.
• Option 4: \(\angle SWR\) and \(\angle WRS\) are not supplementary as there is no information to support that their sum is \(180^{\circ}\).

Answer:

The measure of \(\angle SWX\) is \(72^{\circ}\).