SOLUTION: In the regular octagon below, find x. https://web2.0calc.com/api/ssl-img-proxy?src=%2Fimg%2Fupload%2Fb8a0eeb81cd61ebb5182a8a7%2Fregular-octagon2.jpg

Question 1210531: In the regular octagon below, find x.
https://web2.0calc.com/api/ssl-img-proxy?src=%2Fimg%2Fupload%2Fb8a0eeb81cd61ebb5182a8a7%2Fregular-octagon2.jpg
Answer by greenestamps(13292) (Show Source): You can put this solution on YOUR website!

The longer of the two diagonals in the figure is perpendicular to the side of the octagon, so the angle it forms with the side of the octagon in 90 degrees.

The angle measure of each interior angle of a regular octagon is degrees.

The shorter of the two diagonals in the figure forms an isosceles triangle with two sides of the octagon. The measure of each acute angle in that isosceles triangle is degrees.

So the measure of the angle x in the figure is degrees.

ANSWER: 67.5 degrees

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