Question

Find the measure of each interior angle of a regular polygon having 45 sides

Answer 1

Step-by-step explanation:

Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .

Answer 2

Answer:

Sum of angles in the polygon = (n-2)180°

= (45-2)180°

= 43 x 180°

Number of angles = 45 (=number of sides)

measure of each interior angle = (43 x 180)°/45

= 43 x 4 °

= 132 °

hope it helps