[GMAT math practice question]
ABCD is a square and ADE is an equilateral triangle. What is the value of x?
A. 120
B. 130
C. 140
D. 150
E. 160
ABCD is a square and ADE is an equilateral triangle. What is
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- Max@Math Revolution
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< 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
< 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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