In the diagram MN, PQ and RS are parallel lines. What is the value of the angle marked X?

In the diagram MN, PQ and RS are parallel lines. What is the value of the angle marked X?

Answer Details

MN || PQ || RS
MN = PQ = RS (parallel lines)
Label the angle in the lines
a = i (corresponding angles are equal)
b = x (corresponding angles are equal)
If |MN| = |RS|
If a = i
and a = 63 = i
a + b = 180 (Adjacent interior angles are supplementary i.e add to 180)
∴ i + x = 180
63 + x = 180
x = 180 - 63
x = 1170