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Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We are given a parallelogram with three given angles. Let’s sketch the diagram below.
Since we have a parallelogram we know that opposite angles are equal and that the angles sum to 360°.
Thus, x = z and
y + y + x + x = 360
2y + 2x = 360
y + x = 180
We must determine the value of x.
Statement One Alone:
y = 2x
Using the information from statement one we can substitute 2x for y in the equation y + x = 180. Thus we have:
2x + x = 180
3x = 180
x = 60
Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.
Statement Two Alone:
x + z = 120
Since x = z, we know:
x + x = 120
2x = 120
x = 60
Statement two is sufficient to answer the question.
Answer: D
