Question

Find the measure of each interior angle of a regular (i) Octagon (ii) polygon of 12 sides

Answer 1

Step-by-step explanation:

(I) Octagon

As we know that the sum of all angles in an octagon is 1080°

And hence here it is a regular octagon so all angles will be equal.

So the equation forms as

8x = 1080

x=135°

(II) Polygon of 12 sides

As we know taht the sum of all angles in a 12 sided polygon is 1800°

And hence here it is a regular 12 sided polygon so all angles will be equal.

So the equation forms as

12x=1800

x=150°

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