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The figure shows that l is parallel to m, ABCD is a square,

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The figure shows that l is parallel to m, ABCD is a square,

by Max@Math Revolution » Sun Nov 03, 2019 11:57 pm
[GMAT math practice question]

The figure shows that l is parallel to m, ABCD is a square, and the point D is on l and B is on m. What is ∠ y - ∠ x?

Image

A. 15
B. 25
C. 30
D. 35
E. 40
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by Max@Math Revolution » Wed Nov 06, 2019 12:44 am
=>

When we draw an additional line k on the figure as follows,

Image

Since ∠ BCD = 90°, we have ∠ x + 8∠ x = 90° and ∠ x = 10°.
Since ∠ x + ∠ y = 45°, we have ∠ y = 35°. Thus ∠ y - ∠ x = 25°.

Therefore, B is the answer.
Answer: B
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