Question

find the measures of the interior angles of a regular polygon.
a) decagon b) hexagon

plz give the solution that how to solve it.

Answer 1

Answer:

decagon 144degree

In Regular Decagon, all sides are of same size and measure of all interior angles are same.

The sum of interior angles of decagon is.

The sum of interior angles of decagon is.= (n – 2) × 180° [n is number of sides of polygon)]

= (10 – 2) X 180°

= 1440°.

Each interior angle = 1440/10.

= 144°

2 .Hexagon

total angle is n-2*180

=6-2*180

=4*180

=720

=total side is 6

so each angle is

720/6

=120

=hexagon 120degree

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