Answer:
x = 34 degrees
Explanation:
angles TWU and PSR are vertical and equal
if TSU = 4x and QSR = x then PSQ = 3x
triangle PSQ has 180 degrees
we know the three interior angles of the triangle are:
x, x, 112
we found the 112 by subtracting 68 from 180 since PQR is a straight line which has 180 degrees
to find 'x' we do the following:
x + x + 112 = 180
2x + 112 = 180
2x = 68
x = 34