Question

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

Explanation:

Step1: Recall angle - sum property

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

Step2: Check the first set

For 60°, 60°, 60°: 60 + 60+60 = 180°.

Step3: Check the second set

For 90°, 90°, 45°: 90 + 90+45=225°≠180°.

Step4: Check the third set

For 30°, 40°, 50°: 30 + 40+50 = 120°≠180°.

Step5: Check the fourth set

For 90°, 45°, 45°: 90 + 45+45 = 180°.

Step6: Check the fifth set

For 120°, 30°, 30°: 120 + 30+30 = 180°.

Answer:

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