Question

the number of sides of a regular polygon whose each exterior angle has a measure of 45 degree is
​

Answer 1

Answer:

Each exterior angle = 45°

then sides of polygon = 360°/45°

= 8

.

. . required polygon is a octagon..!!

i hope this on is helpful 2 u..

Answer 2

Answer:

The sum of the interior angles of the polygon is

1080

Step-by-step explanation:

Sum of exterior angle of any polygon is

360

o

.

As each exterior angle is

45

o

, number of angles or sides of the polygon is

360

o

45

o

=

8

.

Further as each exterior angle is

45

o

, each interior angle is

180

o

−

45

o

=

135

o

.

As there are

8

interior angles each

135

o

the sum of the interior angles of the polygon is

135

o

×

8

=

1080

o