Question

Identify the combination of angle measures that could form a triangle. A: 45, 65, and 75 B: 30, 75, and 85 C: 25, 65, and 90 D: 30, 75, and 85

Answer 1

To determine if a combination of angle measures can form a triangle, we need to verify two conditions:

1. The sum of the angles must equal 180 degrees.
2. Each angle must be greater than 0 degrees.

Let's evaluate each option:

A: 45, 65, and 75
- Sum: 45 + 65 + 75 = 185 (not equal to 180, so this cannot form a triangle)

B: 30, 75, and 85
- Sum: 30 + 75 + 85 = 190 (not equal to 180, so this cannot form a triangle)

C: 25, 65, and 90
- Sum: 25 + 65 + 90 = 180 (this is equal to 180, so this can form a triangle)

D: 30, 75, and 85 (this is a repeat of option B)
- Sum: 30 + 75 + 85 = 190 (not equal to 180, so this cannot form a triangle)

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