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

Question

Responses

40°
, 55°
, and 95°
40 degrees , 55 degrees , and 95 degrees

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

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

30°
, 75°
, and 85°

Answer 1

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

Let's analyze each option:

1. 40°, 55°, and 95°

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

2. 45°, 65°, and 75°

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

3. 25°, 65°, and 90°

   • \(25 + 65 + 90 = 180°\) (forms a triangle)

4. 30°, 75°, and 85°

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

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