Question

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

Answer 1

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

Answer 2

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°.