Respuesta :

KurdishPotato

Answer:

30

Step-by-step explanation:

The sum of interior angles in a polygon is calculated with the following formula:

(x-2)*180 (x is the number of interior angles)

if

(x-2)*180 = 5040 divide both sides by 180

x-2 = 28 add 2 to both sides

x = 30 this is the number of angles the polygon got

if the polygon got 30 angles then it has 30 sides.

fieryanswererft

The interior angles of a polygon with 30 sides sum up to 5040 degrees.

Brief Explanation:

[tex]\star[/tex] Polygon is a two dimensional figure with finite number of sides.

To Find the number of sides, Given the sum of interior angles: 5040°

Use the Formula:

Sum of interior angles = 180(n-2)       [ "n" denotes number of sides ]

Solving Steps:

  • 180(n-2) = 5040

divide both sides by 180

  • 180(n-2)/180 = 5040/180

simplify the following

  • (n-2) = 28

add 2 on both sides

  • n - 2 + 2 = 28 + 2

add the integers

  • n = 30

Hence, the convex polygon which is reffered as triacontagon has 30 sides whose interior angles sum up to 5040 degrees.

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