You are asked to draw a triangle using three of the following angles: 0°, 30°, 45°, 55°, 60°, 80°, 90°, 105°. Which triangle cannot exist?ResponsesA 30°, 60°, 90°30°, 60°, 90°B 45°, 55°, 80°45°, 55°, 80°C 30°, 45°, 105°30°, 45°, 105°D 30°, 45°, 55°
Question
You are asked to draw a triangle using three of the following angles: 0°, 30°, 45°, 55°, 60°, 80°, 90°, 105°. Which triangle cannot exist?ResponsesA 30°, 60°, 90°30°, 60°, 90°B 45°, 55°, 80°45°, 55°, 80°C 30°, 45°, 105°30°, 45°, 105°D 30°, 45°, 55°
Solution
The triangle that cannot exist is C. 30°, 45°, 105°. The sum of the angles in a triangle must always equal 180°. In option C, the sum of the angles is 30° + 45° + 105° = 180°, which is not possible.
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