Question

The ratio between exterior angle and interior angle of a
regular polygon is 1:3. Find the number sides of the polygon. Also find each exterior and intirior angles
​

Answer 1

Step-by-step explanation:

If the ratio between the interior angle and the exterior of a regular polygon is 1:3 then the ratio must be 1:3, as mentioned!

The measures of the angle, however are 45 deg and 135 deg. Number of sides = 360/135 = 2.666, which is impossible. Such a regular polygon is not possible and does not exist.

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Answer 2

Answer:

let interior angle and exterior angle be x and 3x.

so, x+3x = 180

4x = 180

x = 45

So, Int angle = 45

Ext angle = 135

Each Exterior angle is 135 degree

Sum of Exterior Angles= 360 degree

No.of Sides = Sum of Ext angles / Each's measure

.

.

No.Of Sides = 360 / 135

Sides = 2.666

So, This type of Polygon does not exist..