Question

problem 3 select all of the sets of angles that could make a triangle. 60°, 60°, 60° 45°, 90°, 45° 30°, 90°, 60° 120°, 30°, 30° 50°, 40°, 90° 30°, 45°, 105°

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is always 180°.

Step2: Check each set of angles

• For the set 120°, 30°, 30°: $120 + 30+30=180$.
• For the set 90°, 45°, 45°: $90 + 45+45 = 180$.
• For the set 30°, 40°, 50°: $30+40 + 50=120

eq180$.

• For the set 45°, 90°, 45°: $45 + 90+45=180$.
• For the set 60°, 60°, 60°: $60+60 + 60=180$.

Answer:

120°, 30°, 30°; 90°, 45°, 45°; 45°, 90°, 45°; 60°, 60°, 60°