smc

geometry intermediate

Problem

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

∠ G D A

(A)

9 0^{\circ}

(B)

10 5^{\circ}

(C)

12 0^{\circ}

(D)

13 5^{\circ}

Solution

m ∠ G D A = 36 0^{\circ} - 9 0^{\circ} - 6 0^{\circ} - 9 0^{\circ} = 12 0^{\circ} \Rightarrow 12 0^{\circ}

Final answer