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3 years ago

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

Mathematics

2 answers:

sdas [7]3 years ago

5 0

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

Vinil7 [7]3 years ago

4 0

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°.

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