Find the value of $3 m^{2} + n$ if :

$m :$ Number of lines of symmetry of regular pentagon

$n :$ Number of lines of symmetry of regular octagon

83

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81

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78

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89

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Solution

The correct option is A $83$
Number of lines of symmetry in a regular polygon is equal to number of sides of the polygon.

So, number of lines of symmetry of regular pentagon $(m)$ = 5

and number of lines of symmetry of regular octagon $(n)$ = 8

$∴ 3 m^{2} + n = 3 \times 5^{2} + 8 = 83$

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Consider the following statements.

Statement 1: Regular polygons have finite lines of symmetry.

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For a n -sided regular polygon, the number of lines of symmetry is n. Is this statement valid?

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