Question

Does anyone know the answer to number 1, because I need to know ASAP

Answer 1

The formula for the sum of the interior angles of a regular polygon in degrees is
`180(n -2)`, where
`n` is the number of sides on the polygon.

In the case of a regular pentagon with five sides, we can say that
`n = 5`. Using the formula below, we can find the sum of the interior angles of the pentagon:

`180(5 - 2) = 180(3) = 540`

The sum of the interior angles is 540°.

Answer 2

The exterior angles of any convex polygon add to 360 degrees. So for a regular pentagon, the exterior angle is 360/5 = 72 degrees. The interior angle is supplementary to the exterior angle so is 180 - 72 = 108 degrees. So the sum of them is 5(108) = 540 degrees.

Answer: 540 degrees