Question

Study the following figure and state whether the triangles are similar.
Give reasons to justify your statement.

Answer 1

$$\begin{gathered} \text{In}△\mathrm{DMN}\text{and}△AQR, \\ \angle \mathrm{DMN}\cong \angle AQR(55°\mathrm{each}) \\ \angle \mathrm{DNM}\cong \angle \mathrm{AR}Q(a\mathrm{each}) \\ \mathrm{Therefore},\mathrm{by}\text{the}\mathrm{AA}\mathrm{similarity}\mathrm{test}, \\ △\mathrm{DMN}~△AQR \end{gathered}$$