Question

use this list of angles: 60°, 20°, 100°, 40°, 110°, 50°, 30°. your combination from the previous screen is 60°, 20°, and 100°. write all the remaining possible combinations of three different angle measures that can form a triangle.

Explanation:

Step1: Recall triangle - angle sum property

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

Step2: Check all combinations

We have angles 60°, 20°, 100°, 40°, 110°, 50°, 30°. We already have the combination 60°, 20°, 100°.

• Consider 60° + 40°+ 80° (not in our list).
• 60°+40° + 80° is not valid.
• 60°+50°+70° (not in our list).
• 60° + 30°+90° (not in our list).
• 20°+40° + 120° (not in our list).
• 20°+50°+110° (already considered).
• 20°+30° + 130° (not in our list).
• 100°+40°+40° (not distinct).
• 100°+50°+30° = 180°
• 40°+50°+90° (not in our list).
• 40°+30°+110° = 180°
• 50°+30°+100° (already considered).

Answer:

Angle 1	Angle 2	Angle 3
40°	30°	110°