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

(4 Points)

A.30°, 60°, 80°

B.45°, 45°, 100°

C.90°, 45°, 45°

D.50°, 50°, 80°

1 answer

To determine which sets of angles could form a triangle, we need to remember that the sum of the interior angles of a triangle must be exactly 180°. Let's check each set of angles:

A. \(30° + 60° + 80° = 170°\) (not a triangle)

B. \(45° + 45° + 100° = 190°\) (not a triangle)

C. \(90° + 45° + 45° = 180°\) (this can form a triangle)

D. \(50° + 50° + 80° = 180°\) (this can form a triangle)

Thus, the sets of angles that could form a triangle are:

C. \(90°, 45°, 45°\)
D. \(50°, 50°, 80°\)

So the correct answers are C and D.