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. angle 1 angle 2 angle 3

Explanation:

Step1: Recall triangle - angle sum property

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

Step2: Check all possible combinations

We have angles 60°, 20°, 100°, 40°, 110°, 50°, 30°. We need to find combinations of three different angles that sum to 180°.
We already have the combination 60°, 20°, 100°.

• Try 60° + 40°+ 80° (not in our list).
• Try 60°+50° + 70° (not in our list).
• Try 60°+30°+90° (not in our list).
• Try 20°+40° + 120° (not in our list).
• Try 20°+50°+110°: 20 + 50+110=180.
• Try 20°+30° + 130° (not in our list).
• Try 40°+50°+90° (not in our list).
• Try 40°+30°+110°: 40 + 30+110 = 180.
• Try 50°+30°+100°: 50+30 + 100=180.

Answer:

Angle 1	Angle 2	Angle 3
40°	30°	110°
50°	30°	100°