Question

Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110°, 15°, and 45°

Answer 1

The interior angles of a triangle must be positive and sum to 180°.

Check each set:
- 60° + 45° + 70° = 175° → no
- 30° + 85° + 25° = 140° → no
- 55° + 90° + 35° = 180° → yes
- 110° + 15° + 45° = 170° → no

So only 55°, 90°, and 35° could be the interior angles of a triangle.