Question

In a polygon there are 6 right angles and the remaining angles are each equal to 200 degrees then the number of sides of the polygon are

Answer 1

Answer:

Sum of the angles of a convex polygon = 180(n - 2), where n is the number of sides.

S = 180(n - 2)

We are given some of the angles and we know that the number of angles, and therefore the number of sides >= 6 {5 right angles plus at least one more)

S = 5 * 90 + 195(n -5)

Setting the equations equal to each other:

180(n - 2) = 5 * 90 + 195(n -5)

180n - 360 = 450 + 195n - 975

180n - 195n = 450 - 975 + 360

-15n = -165

n = 11

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