Question

Calculate the sizes of the exterior and interior of:
a) A regular octagon.
b) A regular decagon.

Please answer asap

Answer 1

Answer:

In a regular decagon, all sides are same size and measure of all interior angles are same.

The sum of interior angles of decagon is

(n−2)×180

o

where n is number of sides of polygon.

(10−2)×180

o

=1440

o

here n=10 because deca means 10

Each interior angle =1440/10=144

o

As we know that the sum of interior and exterior angles is 180

o

Exterior angle + interior angle =180

o

Exterior angle +144

o

=180

o

Exterior angle =180

o

−144

o

=36

o