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

Question

Responses

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

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

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

40°
, 55°
, and 95°

Answer 1

To determine if a combination of angle measures can form a triangle, we need to ensure that the sum of the angles is exactly 180 degrees.

Let's check each combination:

1. 25°, 65°, and 90°:

   • Sum = 25 + 65 + 90 = 180° (Valid)

2. 30°, 75°, and 85°:

   • Sum = 30 + 75 + 85 = 190° (Invalid)

3. 45°, 65°, and 75°:

   • Sum = 45 + 65 + 75 = 185° (Invalid)

4. 40°, 55°, and 95°:

   • Sum = 40 + 55 + 95 = 190° (Invalid)

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