Final answer:
Only option (b) Triangles with angles 32° and 107° are similar to triangle ABC because they have the same corresponding angles, satisfying the condition for triangle similarity.
Step-by-step explanation:
The question is asking which triangles are similar to triangle ABC, which has angles measuring 41° and 32°. For two triangles to be similar, they must have corresponding angles that are the same. Since the sum of the angles in a triangle is always 180°, the third angle in triangle ABC would be 180° - 41° - 32° = 107°. We need to look for triangles that have angles matching these measurements.
- Triangles with angles 49° and 58° do not match.
- Triangles with angles 32° and 107° do match, as the third angle must also be 41°.
- Triangles with angles 41° and 57° do not match, as the third angle would be 82°, not 107°.
- Triangles with angles 74° and 53° do not match either.
Therefore, the correct answer is (b) Triangles with angles 32° and 107° because they match the angle measurements of triangle ABC, and thus, are similar due to having equivalent corresponding angles.