Math Problem (Level 2) : Three angles in two figures (JJ24)

Find the degree of angle X, Y, and Z in a figure.

In Fig. 1, quadrangle ABCD is a square and curve is a part of circle with a vertex of the square as a center.

In Fig. 2, triangle ABC is an equilateral triangle and pentagon ADEFG is an equilateral pentagon.

Answer

X = 30 degrees
Y = 15 degrees
Z = 48 degrees

Reference