Question

Which set of angle measures could be the measures of the interior angles of a triangle?

60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110", 15°, and 45°

Answer 1

(c) 55°, 90°, and 35°

Explanation:

Given lists of angle measures, you want to know which could be the interior angles of a triangle.

Angle sum theorem

The angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.

a) 60 +45 +70 = 175 ≠ 180

b) 30 +85 +25 = 140 ≠ 180

c) 55 +90 +35 = 180 . . . . . . . could form a triangle

d) 110 +15 +45 = 170 ≠ 180

The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.