Determine whether the two triangles are similar.

Explain

1. The two triangles are not similar. Since

\(\displaystyle{m}\angle{B}\ne{m}\angle{F}\), the triangles are not similar by the AA criterion.

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

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

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

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

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

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