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

asked Mar 28, 2023 53.2k views

3 votes

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5 votes

Answer:

12 sides

Step-by-step explanation:

$\sf interior \ angle = ((n-2) * 180)/(n) \quad (where \ n \ denotes\ number \ of \ sides)$

Solving Steps:

$\sf ((n-2) * 180)/(n) = 150$

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

$\sf 180n-360 = 150n$

$\sf 180n-150n = 360$

$\sf 30n = 360$

$\sf n = 12$

Jnnnnn answered Apr 4, 2023

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