Question

If one interior angle of a triangle measures 73°, which set of remaining angles could NOT be the other two interior angles of that triangle?(1 point)
Responses

73° and 34°
73° and 34°

106° and 1°
106° and 1°

97° and 50°
97° and 50°

25° and 82°
25° and 82°

Answer 1

In a triangle, the sum of the interior angles is always 180°. If one angle measures 73°, the sum of the other two angles must be:

180° - 73° = 107°.

Now, we can evaluate the options to see which pair of angles does not sum to 107°:

1. **73° and 34°**:
- 73° + 34° = 107° (Valid)

2. **106° and 1°**:
- 106° + 1° = 107° (Valid)

3. **97° and 50°**:
- 97° + 50° = 147° (Invalid)

4. **25° and 82°**:
- 25° + 82° = 107° (Valid)

The set of angles **97° and 50°** could NOT be the other two interior angles of the triangle, as they do not sum to 107°.