Asked by bobo

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
Since V, R, S are collinear, angle VRT + angle TRS = 180°.

So 5x + (25x + 30) = 180 → 30x + 30 = 180 → x = 5°.

Angle WRS is the supplement of angle TRS (RT and RW are opposite rays), so
angle WRS = 180° − (25x + 30) = 180 − (25·5 + 30) = 25°.

Answer: 25°.