SOLUTION: How do you find the measure of the angles of a hexagon in the ration form of 4:5:5:8:9:9?

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Question 463049: How do you find the measure of the angles of a hexagon in the ration form of 4:5:5:8:9:9?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angles be 4x, 5x, 5x, 8x, 9x, 9x. Their sum must be 720 degrees (sum of the angles in an n-gon is always 180(n-2)). So,

4x + 5x + 5x + 8x + 9x + 9x = 720

Just solve for x, then replace x into all these values to find the known angles.