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adell [148]
4 years ago
8

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

Mathematics
2 answers:
sdas [7]4 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]4 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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