Question

find thesides of each interior angle of regular polygon of 165

Answer 1

$hey$

$each \: interior \: angle \: of \: a \: polygon = \frac{(n - 2) \times 180}{n}$

$= 180n - 360 = 165n$

$= 180n - 165n = 360$

$= 15n = 360$

$n \: = \frac{360}{15}$

$n \: = 24$

$number \: of \: sides \: of \: the \: \\ polygon = 24$

$hope \: it \: helps$

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