If ABCD is square and both AED and CDF are equilateral
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B
C
D
E
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Because triangles ADE and CDF are equilateral, we get:
Because triangle AED is equilateral, DE = AD.
Because ABCD is a square, AD = CD.
.Thus, DE=CD, with the result that triangle CDE is isosceles:
Similar reasoning can be used to show that triangle ADF is isosceles:
Since the angles inside triangle AEG must sum to 180, we get:
Thus, angle FGC = 60.
The correct answer is C.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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