GCE Mathematics 2024 Objective — Question 11
Question 11 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.
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An interior angle of a regular polygon is 168°. Find the number of sides of the polygon.
- A. A. 30
- B. B. 24Correct
- C. C. 15
- D. D. 12
Explanation
Sum of interior angles of a polygon with n sides=(n−2)180°. If the polygon is regular, each interior angle=(n−2)180°/n. So (n−2)180°/n=168°. 180(n−2)=168n. 180n−360=168n. 12n=360. n=30.
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