Question

please help:)

The measure of one angle of an octagon is twice that of the other seven angles. What is the measure of each angle?

Answer 1

The sum of all angles in an octagon is given by

180*(n-2) >>>>>>>>>with n = 8

180*(8-2) = 1080 degrees

A + B = 1080 .......where

A  is the angle of an octagon which is twice that of the other seven angles

B equals the sum of the other seven angles

If we assume each angle of B is equal to each other, then

B = x+x+x+x+x+x+x = 7x

And A = 2x

The equation that results is 

A + B = 2x +7x = 9x =1080

x = 120 degrees
2x = A = 240 degrees