A regular polygon has each interior angle measuring 150°. Find the number of its sides
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 12.
Interior angle of n sides polygon = [(n – 2) × 180]/n
[(n – 2) × 180]/n = 150
⇒ (n – 2) × 180 = 150n
⇒ 180n – 360 = 150n
⇒ 30n = 360
⇒ n = 360/30 = 12