Question

find the each exterior angle of regular polygon
1. Pentagon
2. hexgaon
3. octagon

Answer 1

Answer:

1.pentagon:So five corners, which means a pentagon. this means there are 5 exterior angles. since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.

2.hexagon:d=180(n−1)n, “d” represents interior angle and n is the number of sides in the polygon. So, the value of d or interior angle is 120 degrees. Therefore, the exterior angle of a regular hexagon will be = 180 – 120 = 60 degrees.

3.octagon:A regular octagon has eight equal sides and eight equal angles. (a) Calculate the size of each exterior angle in the regular octagon. We do this by dividing 360° by the number of sides, which is 8. The answer is 360° ÷ 8 = 45°.

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