Question

find the number of sides in a regular polygon if each interior angle is 150°

Answer 1

might be polygon with 6 regular sides

Answer 2

Answer:

Hence, the number of sides of a polygon is 12 sides.

Step-by-step explanation:

Given that:- Each interior angle of a regular polygon is 150°

To find out:- The number of sides of polygon.

Sol. Let the number of sides of the regular polygon be n, then the each of its interior angle measure (n-2)×180°/n.

∴ (n - 2) × 180 /n = 150°

=> (n - 2) × 180° = 150°n

=> 180°n - 360° = 150°n

=> 180°n - 150° = 360°

=> 30°n = 360°

=> n = 360 ÷ 30°

=> n = 12

Hence, the number of sides of a polygon is 12 sides.

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