Question 176
Triangle $ABC$ below has a point $D$ on its side $AB$ such that $AB = CD$, $\angle ABC = 100^{\circ}$ and $\angle DCB = 40^{\circ}$.

a) What is the measure of the angle $B\hat{D}C$?
b) What is the measure of the angle $A\hat{C}D$?

a) What is the measure of the angle $B\hat{D}C$?
b) What is the measure of the angle $A\hat{C}D$?