Geometry and TrigonometryVery hardNumber of sides from the interior angle sum
Geometry and Trigonometry practice question
The sum of the interior angles of a polygon is 1,440°. How many sides does the polygon have?
Answer: 10
(n − 2) × 180 = 1,440 → n − 2 = 8 → n = 10.
Common wrong answers
- If you answered 8
- 8 is n − 2.
- If you answered 9
- 9 comes from an arithmetic slip; 1,440 ÷ 180 = 8.
- If you answered 12
- 12 comes from adding 2 twice.
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