Question

An octagon ha three equal angle each of measure 115°.If all the remaining angles have equal measure,find the measure of each of these remaining angles

Answer 1

Answer:

Let x be the angle of each of the remaining angles.

Any polygons have a sum of interior angles equal to (n-2)*180 where n is the number of sides of the polygon.

∴ Sum of interior angles of an octagon=(8-2)*180=1080

∴(3*115)+5x=1080

345+5x=1080

5x=735

x=147

Hence the magnitude of each of the remaining angles.

Hope it helps :)

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