Question

Identify the combination of angle measures that could form a triangle.(1 point) Responses 40° , 55° , and 95° 40 degrees , 55 degrees , and 95 degrees 45° , 65° , and 75° 45 degrees , 65 degrees , and 75 degrees 30° , 75° , and 85° 30 degrees , 75 degrees , and 85 degrees 25° , 65° , and 90°

Answer 1

To determine which combination of angle measures can form a triangle, we need to verify whether the sum of the angles in each combination equals 180 degrees.

1. 40°, 55°, and 95°

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

2. 45°, 65°, and 75°

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

3. 30°, 75°, and 85°

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

4. 25°, 65°, and 90°

   • Sum: 25 + 65 + 90 = 180° (This can form a triangle!)

Based on this analysis, the only combination that can form a triangle is 25°, 65°, and 90°.