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Bunuel

What does q equal in the figure shown above where ABCD is a rectangle?

(1) The length of line segment AM is the same as the length of line segment LM.

(2) The length of line segment LN is the same as the length of line segment DN.


Are You Up For the Challenge: 700 Level Questions


Statement 1:
If we fix the rectangle, AK, and LM, we can tweak point N and LN's position so angle q can vary, insufficient.

Statement 2:
If we fix the rectangle, DK, and LN, we can tweak point M and LM's position so angle q can vary, insufficient.

Combined:
Let angle KAD = a and angle KDA = b. We know a + b = 100 from triangle KDA. From statement 1, angle MLA = LAM = a. From statement 2, angle DLN = LDN = b. Then observe the 180 degree angle q lies on, we have q + a + b = 180, which is q + 100 = 180.

Ans: C

Attachment:
labelled angles.png
labelled angles.png [ 35.95 KiB | Viewed 2691 times ]
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