Question

✿The sum of the interior angles of this polygon equals 360 degrees?✿


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Answer 1

Answer:

the sum of the interior angles of a quadrilateral is 360 degrees

(4sided polygon)

Answer 2

Step-by-step explanation:

Let the number of sides be x

$\sf \: Sum \: of \: Interior \: Angles \: Formula = (2x - 4) \times {90}^{\circ} \: or \: (x - 2) \times {180}^{\circ}$

Substituting x and 360° in the above formula,

$2x - 4 = \frac{ {360}^{\circ} }{ {90}^{\circ} } \\ \\ 2x = 4 + 4 \\ \\ x = 4$

Number of Sides = 4

Other Formula:

1) Sum of all exterior angles of a polygon with n sides = 360°.

Hope it helps