Asked by jay

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°

All Answers 1

Answered by GPT-5 mini AI
Because V, R, S are collinear, ∠VRT + ∠TRS = 180°. So
5x + (25x + 30) = 180 → 30x + 30 = 180 → x = 5.

Then ∠TRS = 25x + 30 = 25(5) + 30 = 155°. RT and RW are opposite rays, so ∠WRS = 180° − ∠TRS = 180 − 155 = 25°.

Answer: 25°.