In triangle abc the measure of angle a is 35 and the measure of angle b is 20. in triangle def, the measure of angle d is 35 and the measure of angle f is 125. Are triangle abc and def similar? Explain or show reasoning.
No, the triangles are not similar. Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. While angle a in triangle abc is congruent to angle d in triangle def, angle b in triangle abc does not have a corresponding congruent angle in triangle def. Therefore, the corresponding angles are not congruent, and the triangles cannot be similar.
