Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the movement of the progress bar may be uneven because questions can be…

Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on the question.
which of the following statements about the image below is true?
line ur and line vs are perpendicular.
∠swr and ∠wrs are supplementary.
line ur and line vw are parallel.
the measure of ∠swx is 72°.

Explanation:

Step1: Recall perpendicular - line definition

Perpendicular lines form 90 - degree angles.

Step2: Check angle between UR and VS

No right - angle symbol or indication of 90 - degree angle.

Step3: Recall supplementary - angle definition

Supplementary angles sum to 180 degrees.

Step4: Check ∠SWR and ∠WRS

They are not linear pair, don't sum to 180 degrees.

Step5: Recall parallel - line definition

Parallel lines never intersect. UR and VW intersect.

Step6: Recall vertical - angle property

Vertical angles are equal. ∠SWR and ∠SWX are vertical angles, ∠SWR = 72°, so ∠SWX = 72°.

Answer:

The measure of ∠SWX is 72°.