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JAMB Mathematics 2023 Paper

Question : 6

Total: 80

Solution:

An interior angle of a regular polygon = $\frac{(2n-4)\times 90}{n}$

An exterior angle of a regular polygon =

\frac{360}{n}

\frac{(2n-4)\times 90}{n}

\times

\frac{360}{n}

(Given)

= (2n-4) x 90 = 5 x 360

= 180n - 360 = 1800

= 180n = 1800 + 360

= 180n = 2160

= n =

\frac{2160}{180}

= 12

The polygon has 12 sides which is dodecagon

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