Identify the combination of angle measures that could form a triangle.(1 point)

Question

Responses

30°, 75°, and 85°
30 degrees , 75 degrees , and 85 degrees

45°, 65°, and 75°
45 degrees , 65 degrees , and 75 degrees

25°, 65°, and 90°
25 degrees , 65 degrees , and 90 degrees

40°, 55°, and 95°

Answer 1

To determine if a combination of angle measures can form a triangle, the sum of the angles must equal 180 degrees.

Let's evaluate each set of angles:

1. 30°, 75°, and 85°:

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

2. 45°, 65°, and 75°:

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

3. 25°, 65°, and 90°:

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

4. 40°, 55°, and 95°:

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

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