SOLUTION: I have a four sided polygon with the following dimensions. The base is 10 feet, the left vertical height is 8 feet and the right vertical height is 10 feet. I need to know the inte

Question 280546: I have a four sided polygon with the following dimensions. The base is 10 feet, the left vertical height is 8 feet and the right vertical height is 10 feet. I need to know the interior angles in the top two corners. The bottom corners are 90 degrees.
This is to cut lumber as joists to fit this polygon (a lean too on my home.
Thx
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
if you draw a line parallel to the base from the top of the left vertical post of 8 feet to the opposite side at the 8 ft mark you form a right triangle with base 10 and vertical leg of 2 (10-8=2)
the roof will be
2^2+10^2=c^2
4+100=c^2
sqrt(104)=c
the top angle can be found using the 10 and the 2 sides of the right triangle and the corresponding trig function.
the other interior angle will be 180-that angle.

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