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Serga [27]
3 years ago
15

Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.

Mathematics
1 answer:
alexira [117]3 years ago
5 0
The sum of the external angles of a polygon is always 360°

To find the measure of one angle, the formula is 360/n where n is the number of the sides of the polygon.

360/6 = 60°

The sum of all internal angles of a polygon can be find with the formula (n-2)*180° where n is the number of the sides. In this case 180(6-2) = 180*4 = 720°

To find one internal angle, follow this formula [180(n-2)] / n = [720/6] = 120°

Anyway, you can pick a vertex and from that vertex start to draw diagonals.

There will be some triangles, the sum of all internal angles of a triangle is 180°. In a polygon, the sum of all internal angles equals to the sum of all internal angles of all the triangles.

Hope I'm clear.
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