Based on the Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180°. Which set of angles could form a triangle?(1 point)

Question

Responses

45°, 65°, and 75°
45°, 65°, and 75°

40°, 55°, and 95°
40°, 55°, and 95°

30°, 75°, and 85°
30°, 75°, and 85°

25°, 65°, and 90°

Answer 1

To determine which set of angles could form a triangle, we need to check which set sums up to 180°.

1. For the angles 45°, 65°, and 75°: \[ 45 + 65 + 75 = 185° \quad (\text{not a triangle}) \]

2. For the angles 40°, 55°, and 95°: \[ 40 + 55 + 95 = 190° \quad (\text{not a triangle}) \]

3. For the angles 30°, 75°, and 85°: \[ 30 + 75 + 85 = 190° \quad (\text{not a triangle}) \]

4. For the angles 25°, 65°, and 90°: \[ 25 + 65 + 90 = 180° \quad (\text{this is a triangle}) \]

The only set of angles that could form a triangle is 25°, 65°, and 90°.