SOLUTION: The equilateral triangle ACD is rotated contrary clockwise around point A. What is the angle of rotation when triangle ACD covers triangle ABC the first time? A) 60 ° B) 120 ° C

Question 1146371: The equilateral triangle ACD is rotated contrary clockwise around point A. What is the angle of rotation when triangle ACD covers triangle ABC the first time? A) 60 ° B) 120 ° C) 180 ° D) 240 ° E) 300
I don't know how to insert the picture so I'll describe it its a rhombus and it is cut diagonally from point A to C.
Answer by greenestamps(13334) (Show Source): You can put this solution on YOUR website!

ABCD is a rhombus; and triangle ACD is equilateral. That makes triangle ABC also equilateral.

So angles DAC and CAB are each 60 degrees.

Therefore, when triangle ACD is rotated counterclockwise about point A, it will exactly cover triangle ABC after rotating 60 degrees.

ANSWER A
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