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°

C. 25°

Explanation:

Prepare a sketch such that the first line with points VRS intersect the line with points TRW at R where ∠WRS and ∠VRT are vertical angles.

Because line TW intersect line SV at R, then ∠WRV and ∠SRT are vertical angles.

The sum of ∠SRT and ∠VRT =180°

Thus (25x +30)°+(5x)° =180°

         25x +30° +5x =180°

          30x= 180°-30°

          30 x = 150°

           x= 150/30

            x= 5°

∠SRT = 25x+30 = 25*5 +30 =155°

∠WRS= 180°-155°=25°

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