Math New Drill (Level 1) : Geometry (Plane figure) Problem1(6) JOSAIKAWAGOE-2014

Equilateral triangle ABC is rotated counterclockwise by 15 degrees around the vertex A as a rotation center to be ADE as shown in a figure below.
Find the angle of X.








Answer
75 degrees

Solution
∠CAE = ∠DAB = 15 degrees 
X=∠CAE + ∠AED = 15 + 60 = 75 degrees