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ABCD is a square and ADE is an equilateral triangle. What is

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by Max@Math Revolution » Mon Jul 29, 2019 12:10 am

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A

B

C

D

E

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[GMAT math practice question]

ABCD is a square and ADE is an equilateral triangle. What is the value of x?

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A. 120
B. 130
C. 140
D. 150
E. 160
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by Max@Math Revolution » Tue Jul 30, 2019 10:54 pm
=>

< AED = < EAD = < EDA = 60°
Then < EDC = < EAB = 30° and < CED = < BEA = 75°
Therefore, x = 360° - ( < AED + < BEA + < CED ) = 360° - (60° + 75° + 75°) = 360° - 210° = 150°

Therefore, the answer is D.
Answer: D
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