Question

In the figure, if AABE is an equilateral triangle in square ABCD, then the value of angle x in degrees is
C
A
B
O 60°
O 45°
O 75°
0 90°​

Answer 1

Answer:

ABE is an equilateral triangle --> all angles = 60 degrees. Angles DAE = angle CBE = 90 - 60 = 30 degrees. Since AD = AE = BE = BC, then triangles DAE and CBE are isosceles: x+x+30=180--> x=75