Question

Measurement of interior angle of a regular polygon

Answer 1

Step-by-step explanation:

To find the measurement of interior angle of a regular polygon by using the formula

S= (n-2)×180

Answer 2

Measure of each interior angle of n sided polygon: $\frac{(n - 2) \times 180^{\circ} }{n}$

Solution:

Consider a polygon with sides of equal length and angles of equal measure:

The formula for finding the sum of the measure of the interior angles of a regular polygon with "n" sides is:

$sum = (n-2) \times 180^{\circ}$

To find the measure of one interior angle, use the above formula and divide by the number of sides n

Measure of each interior angle of n sided polygon:

$\frac{(n - 2) \times 180^{\circ} }{n}$

Where, "n" is the number of sides

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