Identify the combination of angle measures that could form a triangle.

Question

Responses:
45°, 65°, and 75°
40°, 55°, and 95°
30°, 75°, and 85°
25°, 65°, and 90°

Answer 1

To determine whether a combination of angle measures can form a triangle, the sum of the angles must be equal to 180°. Let's check each set of angles:

1. 45°, 65°, and 75°:

   • Sum: 45 + 65 + 75 = 185° (not a triangle)

2. 40°, 55°, and 95°:

   • Sum: 40 + 55 + 95 = 190° (not a triangle)

3. 30°, 75°, and 85°:

   • Sum: 30 + 75 + 85 = 190° (not a triangle)

4. 25°, 65°, and 90°:

   • Sum: 25 + 65 + 90 = 180° (this can form a triangle)

The only combination of angle measures that could form a triangle is 25°, 65°, and 90°.