MathDB

In the adjoining figure, CDE is an equilateral triangle and ABCD and DEFG are squares. The measure of

\angle GDA

\text{(A)} \ 90^\circ \qquad \text{(B)} \ 105^\circ \qquad \text{(C)} \ 120^\circ \qquad \text{(D)} \ 135^\circ \qquad \text{(E)} \ 150^\circ

[asy] size(200); defaultpen(linewidth(0.7)+fontsize(10)); pair D=origin, C=D+dir(240), E=D+dir(300), F=E+dir(30), G=D+dir(30), A=D+dir(150), B=C+dir(150); draw(E--D--G--F--E--C--D--A--B--C); pair point=(0,0.5); label("

A

", A, dir(point--A)); label("

B

", B, dir(point--B)); label("

C

", C, dir(point--C)); label("

D

", D, dir(-15)); label("

E

", E, dir(point--E)); label("

F

", F, dir(point--F)); label("

G

", G, dir(point--G));[/asy]

Problem Statement