Question

find the number of sides of a regular polygon whose interior angle is;
A:150°
B:144°​

Answer 1

$\huge\star\underline\mathfrak\green{Answer}$

1. Since an interior angle is 150° , its adjacent exterior angle is 30° . Exterior angles of any polygon always add up to 360° . With the polygon being regular, we can just divide 360 by 30 to get 12 sides.
2. Since the interior angle is 144° , each exterior angle is 180-144= 36°.

For any convex polygon, the sum of exterior angles is 360°>

Hence, the number of sides= the number of vertices =

$\frac{360}{36}$

= 10 .

Answer 2

$\huge\star\underline\mathbb\red{HELLO}$

$\frac{360}{36}$

= 10