Question

find the number of sides of a regular polygon whose each exterior angle is 45 degrees ( I need the workings also)
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Answer 1

Answer

Given :

• exterior angle = 45°

We know that ,

The sum of outer angles of any polygon is 360°.

Then,

we have to divide 45 with 360

➝ No. of sides =

➝ 360/45

➝ 8

➝ No.of sides = 8

So, the side is 8

Notes ::

• The sum of the angles of an n sided polygon is ( n - 2 ) × 180°

• The sum of the outer angles of any polygon is 360°

• To find each angle of polygon is Total angle/ sides