Question

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

Answer 1

Sum of exterior angle of any polygon is 360  .

As each exterior angle is 45  ,

number of angles or sides of

the polygon is = 8.

Further as each exterior angle is 45  , each interior angle is 180  − 45  = 135  .

As there are 8 interior angles each 135

the sum of the interior angles of the

polygon is

135  × 8 = 1080

Answer 2

Answer:

exterior angle = 360°÷ number of sides.

let “number of sides” be x

45° = 360°÷ x

x = 360/45

x = 8

Number of sides of regular polygon is 8

hope this helps!