In the figure above, if PQRS is a parallelogram, then y-x=?

A 30
B 35
C 40
D 70

Correct Answer: 30

In parallelogram corresponding angles are equal and consecutive angles supplementary (supplementary angles are two angles that add up to 180°), thus : 140 = 2y 2y + x = 180 y = 70 = > 140 + x = 180 = > x = 40 Now, y - x = 70 - 40 = 30 So, the answer choice is (a) 30
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