Question

in a regular polygon , each interior angle is the thrice the exterior angle . find the number of sides of the polygon.

Answer 1

Let, Write exterior angle as ext
and interior angle as int
ext = 3×int
ext + int = 180°
4×int=180°
int = 45°
So, no. of side = 180°/45° = 4

Thank you

Answer 2

Answer:

Let, Write exterior angle as ext

and interior angle as int

ext = 3×int

ext + int = 180°

4×int=180°

int = 45°

So, no. of side = 180°/45° = 4

Step-by-step explanation: