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Find the sum of the interior angles. please I need help!!

Find The Sum Of The Interior Angles Please I Need Help class=

Sagot :

Given:

A 7-sides regular polygon.

To find:

The sum of the interior angles of the given regular polygon.

Solution:

The formula for the sum of the interior angles of a regular polygon is:

[tex]Sum=180^\circ(n-2)[/tex]

Where, n is the number of sides of the regular polygon.

The given regular polygon has 7 sides. Putting [tex]n=7[/tex] in the above formula, we get

[tex]Sum=180^\circ(7-2)[/tex]

[tex]Sum=180^\circ(5)[/tex]

[tex]Sum=900^\circ[/tex]

Therefore, the sum of the interior angles of the given regular polygon is 900 degrees.