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

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

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

45°
, 65°
, and 75°

Answer 1

To determine if a combination of angle measures can form a triangle, we need to check if the sum of the angles equals 180 degrees. Let's evaluate each combination:

1. 25°, 65°, and 90°: \( 25 + 65 + 90 = 180° \) (This combination works)

2. 40°, 55°, and 95°: \( 40 + 55 + 95 = 190° \) (This combination does not work)

3. 30°, 75°, and 85°: \( 30 + 75 + 85 = 190° \) (This combination does not work)

4. 45°, 65°, and 75°: \( 45 + 65 + 75 = 185° \) (This combination does not work)

Only the first combination, 25°, 65°, and 90°, can form a triangle.