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

A    30

B    35

C    40

D    70

Solution

Correct Answer: Option A

 

In parallelogram corresponding angles are equal and consecutive angles are supplementary (supplementary angles are two angles that add up to 180°), thus: 140=2y

--> y=70;

2y+x=180 --> 140+x=180

-->x=40;

Therefore, y−x=70−40=30.

 

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