Question 24
In the triangle $ABC$ we have $\angle ACB = 32^\circ$. The points $D$ and $E$ lie on the line through the side $AB$ such that $|AD| = |AC|$ and $|BE| = |BC|$ (see the figure). What is the size of the angle $\angle DCE$ in degrees?
(A) 90
(B) 96
(C) 100
(D) 106
(E) 116
(A) 90
(B) 96
(C) 100
(D) 106
(E) 116