Question

are these triangles similar? yes no

Explanation:

Step1: Find third - angle of first triangle

In \(\triangle FGH\), using the angle - sum property of a triangle (\(180^{\circ}\)), the third angle \(\angle H=180^{\circ}-(91^{\circ} + 34^{\circ})=55^{\circ}\).

Step2: Find third - angle of second triangle

In \(\triangle IJK\), using the angle - sum property of a triangle (\(180^{\circ}\)), the third angle \(\angle K=180^{\circ}-(91^{\circ}+28^{\circ}) = 61^{\circ}\).

Step3: Check for angle - angle similarity

For two triangles to be similar, their corresponding angles must be equal. Since the angles of \(\triangle FGH\) (\(91^{\circ},34^{\circ},55^{\circ}\)) and \(\triangle IJK\) (\(91^{\circ},28^{\circ},61^{\circ}\)) are not all equal, the triangles are not similar.

Answer:

no