Question

find the number of sides of a regular polygon whose exterior angle has a measure of 45°



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Answer 1

Therefore, the number of sides of a regular polygon whose each exterior angle has a measure of 45∘ is 8.

Answer 2

$\small\mathsf\purple{Let \: n \: be \: the \: number \: of \: sides \: of \: the \: polygon.}$

$\small\mathsf\red{The \: sum \: of \: the \: exterior \: angles \: of \: a \: regular \: polygon=360°}$

$\small\mathsf\blue{45° × n = 360° [Since \: the \: measure \: of \: each \: exterior \: angle is 45°]}$

$\small\mathsf\orange{n = 360°/45°}$

$\small\mathsf\pink{n = 8}$

$\small\mathsf\purple{Therefore, \: the \: number \: of \: sides \: of \: a \: regular \: polygon}$

$\small\mathsf\green{whose \: each \: exterior \: angle \: has \: a \: measure \: of \: 45° \: is \: 8.}$

$\huge\mathcal\pink{Mark \: me \: as \: brainlist}$