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

Question

Responses

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

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

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

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

Answer 1

To determine which combination of angle measures could form a triangle, we need to use the triangle angle sum property, which states that the sum of the measures of the angles in a triangle must equal 180 degrees.

Let's check each option:

1. 45° + 65° + 75°

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

2. 40° + 55° + 95°

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

3. 25° + 65° + 90°

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

4. 30° + 75° + 85°

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

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