Lesson 2: Angles and Triangles

Which of the following sets of angles would create a triangle?

(1 point)

Group of answer choices

12, 24, and 48 degrees

33, 90, and 57 degrees

16, 24, and 78 degrees

10, 10, and 100 degrees

1 answer

The angles in a triangle must add up to 180 degrees.

12 + 24 + 48 = 84 (not a triangle)
33 + 90 + 57 = 180 (triangle)
16 + 24 + 78 = 118 (not a triangle)
10 + 10 + 100 = 120 (not a triangle)

So, the set of angles that would create a triangle is 33, 90, and 57 degrees.