Question

Which set of three angles could represent the interior angles of a triangle?

49°, 59°, 72°
28°,58°,62°
39°, 89°, 108°
45°, 70°, 85°​

Answer 1

The first choice.

Explanation:

The 3 angles must add up to 180 degrees.

49 + 59 + 72 = 108 + 72 = 180.

So it is the first choice.

Answer 2

49°, 59°, 72°

Explanation:

Angles of a triangle must add up to 180°.

49° + 59° + 72° = 180°

28° + 58° + 62° = 148°

39° + 89° + 108° = 236°

45° + 70° + 85° = 200°

Only the first set could represent the interior angles of a triangle.