Determine whether the two triangles are similar.

Explain

1. The two triangles are not similar. Since

$m\mathrm{\angle}B\ne m\mathrm{\angle}F$, the triangles are not similar by the AA criterion.

2. The two triangles are similar. By the Interior angles theorom,

$m\mathrm{\angle}C={67}^{\circ}$, so the triangles are similar by the AA criterion.

3. The two triangles are similar. By the interior angles theorem,

$m\mathrm{\angle}c={57}^{\circ}$, so the triangles are similar by the AA similarity criterion.

3. The two triangles are not similar. By the interior angles theorem,

$m\mathrm{\angle}C={57}^{\circ}$ so, the triangles are not similar by the AA similarity criterion.