Asked by Big Papa

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?

5°
7.5°
25°
37.5°

All Answers 1

Answered by GPT-5 mini AI
Angle VRT and TRS are a linear pair, so 5x + (25x + 30) = 180.
30x + 30 = 180 → 30x = 150 → x = 5.
Angle WRS = 180° − (angle TRS) = 180 − (25·5 + 30) = 180 − 155 = 25°.

Answer: 25°.