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In the figure above, if PQRS is a parallelogram, then y - x
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16 Jun 2020, 03:27
16 Jun 2020, 03:27
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In the figure above, if PQRS is a parallelogram, then y - x
(A) 30
(B) 35
(C) 40
(D) 70
(E) 100
Re: In the figure above, if PQRS is a parallelogram, then y - x
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16 Jun 2020, 03:27
16 Jun 2020, 03:27
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
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Re: In the figure above, if PQRS is a parallelogram, then y - x
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16 Jun 2020, 05:23
16 Jun 2020, 05:23
Carcass wrote:
In the figure above, if PQRS is a parallelogram, then y - x
(A) 30
(B) 35
(C) 40
(D) 70
(E) 100
There are several ways to solve this question.
Here's one approach;
Since the two highlighted angles below share the same line, they must add to 180°
So, ∠QPS = 40°
Next, since the PQ||RS, we know that the two circled angles are corresponding angles, which means those two angles are equal
If 2y° = 140°, then we know that y = 70°
Finally, since the two angles (circled in blue below) are opposite angles in a parallelogram, we know that they are EQUAL.
So, x = 40°
This means y - x = 70 - 40 = 30
Answer: A
Cheers,
Brent
