To calculate the sum of the interior angles of a polygon we must take into account the following formulas: x = (n - 2) × 180°, and y = sum of the interior angles ÷ number of sides.
To calculate the sum of the interior angles of a polygon we must take into account the following formula:
In this formula the value of n represents the number of sides of the polygon. It should be noted that this formula is used when the polygon is irregular, that is, it does not have all the equal sides.
For polygons that are regular we must use the following formula: x = sum of interior angles ÷ number of sides.
According to the above, if we have an irregular pentagon we could calculate the sum of its internal angles as follows:
On the other hand, if the pentagon is regular, we apply the formula above and then the second formula as shown below:
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