Question

2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees.
What is the measure of angle TRV?

20°
50°
60°
130°

Answer 1

Let the top-left angle be 2x + 10 and the bottom-left (angle TRV) be x − 10. Those two are adjacent along the top line, so they are supplementary:

(2x + 10) + (x − 10) = 180
3x = 180
x = 60

So angle TRV = x − 10 = 60 − 10 = 50°.

Answer: 50°.