Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

1260°

Explanation:

To start this with, we find the total number of sides that the said polygon has. And this can be done by saying

Since each interior angle equals 140, then the formula suffices.

[(n-2) * 180] / n = 140

On solving this, we have

n-2 * 180 = 140n

180n - 360 = 140n

180n - 140n = 360

40n = 360

n = 360 / 40

n = 9

This means the number of sides in the polygon is 9

Therefore, the sum of all interior angle is

n-2 * 180 =

9-2 * 180 =

7 * 180 = 1260°

Thus, the total sum of all interior angles of the polygon is 1260°

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