Question

find the no.of sides of a regular polygon whose exterior angle has a measure of 45
find the number of sides of convex polygon for 8?​

Answer 1

$\huge\colorbox{cyan}{Answer ✔}$

The sum of the interior angles of the polygon is

1080⁰

$\huge\colorbox{cyan}{Explanation:}$

Sum of exterior angle of any polygon is

360⁰

As each exterior angle is 45⁰ , number of angles or sides of the polygon is 360⁰

45⁰=8

Further as each exterior angle is 45⁰ , each interior angle is 180⁰−45⁰=135⁰ .

As there are 8 interior angles each 135⁰

the sum of the interior angles of the polygon is 135⁰×8=1080⁰

Hope it helps ☺️☘️

Answer 2

Answer:

Step-by-step explanation:

The Sum of an exterior angle of any polygon is 360°

As each exterior angle is 45°, the number of angles or sides of the polygon is 360/45=8

Further, as each exterior angle is 45°, each interior angle is 180°-45°=135°

As there are 8 interior angles each 135°

the sum of the interior angles of the polygon is 135×8=1080°

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