Question

what is the measure of an interior angle of a regular polygon having a) 5 sides b) 9 side c) 12 sides

Answer 1

Solution:-
We will use the formula ,that is,=> 180(n-2)
Where n is equal to sides given.
$1)5 \: sides \\ = > 180(5 - 2) \\ = > 180 \times 3 \\ = > 540$
Hence,
Interior angle is equal to 540°

$2)9 \: sides \\ = > 180(9 - 2) \\ = > 180 \times 7 \\ = > 1260$
Hence,
Interior angle is 1260°

$3)12 \: sides \\ = > 180(12 - 2) \\ = > 180 \times 10 \\ = > 1800$
Hence,
Interior angle is 1800°

We can also find out the interior angle of polygon by using formula:-
=>(2n-4) ×90°