Find the number of sides of a regular polygon whose each exterior angle measures 45⁰
Answers
Answer:
number of sides of a regular polygon whose each exterior angle measures 45° is 8
Your answer
Sum of exterior angle of any polygon is
Sum of exterior angle of any polygon is 360
Sum of exterior angle of any polygon is 360As each exterior angle is
Sum of exterior angle of any polygon is 360As each exterior angle is 45
Sum of exterior angle of any polygon is 360As each exterior angle is 45number of angles or sides of the polygon is
Sum of exterior angle of any polygon is 360As each exterior angle is 45number of angles or sides of the polygon is 360÷45= 8
Further as each exterior angle is
Further as each exterior angle is 45
Further as each exterior angle is 45, each interior angle is
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
the sum of the interior angles of the polygon is 135×8= 1080
Hope this helps you.....