1.

The measure of each angle of regular polygon is `108^@`. Find perimeter of that polygon if each side measures 7 cm.

Answer» Sum of interior angles of a `n`-sided polygon is `(n-2)**180`.
Here, interior angle is `108^@`.
`:. 108n = (n-2)**180`
`=>108n = 180n-360`
`=>72n = 360`
`=> n = 5`
So, given polygon has `5` sides.
Side of the polygon ` = 7cm`.
`:.` Perimeter of the polygon `= 5**7 = 35cm`.


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