Question

the number of sides of regular polygon if the measure of its interior angle is 150 degree​

Answer 1

Answer:

12 sides

Explanation:

$\sf interior \ angle = \dfrac{(n-2) \times 180}{n} \quad (where \ n \ denotes\ number \ of \ sides)$

Solving Steps:

$\sf \dfrac{(n-2) \times 180}{n} = 150$

$\sf (n-2) \times 180} = 150n$

$\sf 180n-360 = 150n$

$\sf 180n-150n = 360$

$\sf 30n = 360$

$\sf n = 12$