Question

18. The interior angles of a regular polygon are each 60°. Calculate the number of sides​

Answer 1

Answer:

if the interior angle is 60 , then the exterior angle is 120. So if we divide 360/120 we get the answer as three

Thus the number of sides are 3.

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Step-by-step explanation:

Answer 2

$\huge\mathfrak\star[Answer]$

$= 3 \: sides$

★ Solution ★

$according \: to \: the \: question$

$\: : use \: the \: formula$

$angle = \frac{(n - 2) \times 180}{n}$

$where \: angle \: = 60 \: and \: we \: solve \\ for \: n\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$60 = \frac{180n - 360}{n}$

$60n = 180n - 360$

$60n - 180n = - 360$

$- 120n = 360$

$n = \frac{ - 360}{ - 120}$

$n = 3$

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