2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. 4 angles are created. Clockwise, from the top, the angles are blank, (3 x) degrees, blank, (x + 40) degrees.

What is the value of x?

20
35
60
70

1 answer

We know that the sum of the angles around a point is 360 degrees. So, we can set up the equation:

(3x) + (x + 40) + (180) + (180) = 360

Combining like terms and simplifying, we get:

5x + 220 = 360

Subtracting 220 from both sides, we get:

5x = 140

Dividing both sides by 5, we get:

x = 28

So, the value of x is 28. None of the given answer choices are correct.