Question

find the number of sides of a regular polygon if each of us interior and exterior angle is 3:1​

Answer 1

Answer:

$8 \: sides - octagon$

Step-by-step explanation:

let n be the number of sides of the given polygon.

A.T.Q,

(n-2)×180/n÷360/n = 3/1

180n - 360/360 =3/1

180n - 360 = 1080

180n = 1440

n = 1440/180 = 8 sides.

therefore the the given polygon is an octagon.

WHAT STUDENTS SHOULD KNOW TO SOLVE::::::::_______

THE FORMULA FOR THE SUM OF THE INTERIOR ANGLES OF A POLYGON WITH N NUMBER OF SIDES

--------(N-2)×180......TO GET ONE ANGLE WE NEED TO DIVIDE THIS FORMULA BY N...THAT IS WHAT I USED IN THE ABOVE QUESTION.....

AS FOR THE SUM OF EXTERIOR ANGLES,,,,,,,IT IS ALWAYS 360 DEGREE_______THEN TO FIND ONE ANGLE DIVIDE 360 BY N.

HOPE IT HELPS YOU BRO/SIS......

Answer 2

Answer:

hope this helps you out