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Which of the following sets of angles could form a triangle? Select all that apply.

(4 Points)

30°, 60°, 80°

45°, 45°, 100°

90°, 45°, 45°

50°, 50°, 80°

1 answer

To determine if a set of angles can form a triangle, the sum of the angles must equal 180°.

Let's evaluate each set:

  1. 30°, 60°, 80°:

    • Sum: 30 + 60 + 80 = 170° (does not equal 180°)
    • Not a triangle.

  2. 45°, 45°, 100°:

    • Sum: 45 + 45 + 100 = 190° (does not equal 180°)
    • Not a triangle.

  3. 90°, 45°, 45°:

    • Sum: 90 + 45 + 45 = 180° (equals 180°)
    • Forms a triangle.

  4. 50°, 50°, 80°:

    • Sum: 50 + 50 + 80 = 180° (equals 180°)
    • Forms a triangle.

From the analysis, the sets of angles that can form a triangle are:

  • 90°, 45°, 45°
  • 50°, 50°, 80°