Question

The interior angle of a regular polygon is 156°. find the no.of sides of the polygon.



which formula is applied here?​

Answer 1

Answer:The sum of the interior angles of a polygon is: (n-2)*180

Step-by-step explanation:

156n=(n-2)*180

156n=180n-360

24n=360

n=360/24

n=15

Therefore, the polygon has 15 sides.

Answer 2

Answer:

15 SIDED POLYGON

Step-by-step explanation:

WE WILL FIND FIRST THE EXTERIOR ANGLE WHICH WILL BE 180-INTERIOR ANGLE

THAT IS 180-156=24

NUMBER OF SIDES FORMULA= 360/EXTERIOR ANGLE

                                                      =360/24

                                                     = 15