1.

two times the interior angle of a regular polygon is equal to 7 times its exterior angle find the interior angle of a polygon and number of sides in it​

Answer»

ANSWER:

Two times the INTERIOR angle of a regular polygon is EQUAL to seven times is exterior angle.

Each Interior angle of a polygon = 180°(n−2)/n

Each Exterior angle of a polygon = 360°/n

Now,

2 × 180°(n-2)/n = 7 × 360°/n

=>n−2=7

=>n=9

Number of sides of polygon is 9.

Each Interior angle of a polygon = 180°(n-2)/n = 180°(9-2)/9 =140°

Hope this is helpful for you.



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