SOLUTION: Find each measure of each interior angle of nonagon in which the measure of the interior angles are 3x+15, 2x+30, 3x+10, 2x+55, 2x+60, 2x-35, 3x-5, x+40, 2x+70.

Algebra ->  Polygons -> SOLUTION: Find each measure of each interior angle of nonagon in which the measure of the interior angles are 3x+15, 2x+30, 3x+10, 2x+55, 2x+60, 2x-35, 3x-5, x+40, 2x+70.      Log On


   



Question 1034730: Find each measure of each interior angle of nonagon in which the measure of the interior angles are 3x+15, 2x+30, 3x+10, 2x+55, 2x+60, 2x-35, 3x-5, x+40, 2x+70.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the sum of the interior angles of an n-sided
polygon is %28n-2%29%2A%22180%B0%22.  Add them up and set equal t
the formula with n=9, since a nonagon has 9 sides and 9
interior angles. 



Solve for x.

Get x = 51°

3x%2B15%22%22=%22%223%28%2251%B0%22%29%2B%2215%B0%22%29%22%22=%22%22%22153%B0%22%2B%2215%B0%22%22%22=%22%22%22168%B0%22
2x%2B30%22%22=%22%222%28%2251%B0%22%29%2B%2230%B0%22%29%22%22=%22%22%22102%B0%22%2B%2230%B0%22%22%22=%22%22%22132%B0%22
3x%2B10%22%22=%22%223%28%2251%B0%22%29%2B%2210%B0%22%29%22%22=%22%22%22153%B0%22%2B%2210%B0%22%22%22=%22%22%22163%B0%22
2x%2B55%22%22=%22%222%28%2251%B0%22%29%2B%2255%B0%22%29%22%22=%22%22%22102%B0%22%2B%2255%B0%22%22%22=%22%22%22157%B0%22 
2x%2B60%22%22=%22%222%28%2251%B0%22%29%2B%2260%B0%22%29%22%22=%22%22%22102%B0%22%2B%2260%B0%22%22%22=%22%22%22162%B0%22 
2x-35%22%22=%22%222%28%2251%B0%22%29-%2235%B0%22%29%22%22=%22%22%22102%B0%22-%2235%B0%22%22%22=%22%22%2267%B0%22 
3x-5%22%22=%22%223%28%2251%B0%22%29-%225%B0%22%29%22%22=%22%22%22153%B0%22-%225%B0%22%22%22=%22%22%22148%B0%22 
x%2B40%22%22=%22%22%2251%B0%22%2B%2240%B0%22%29%22%22=%22%22%2291%B0%22 
2x%2B70%22%22=%22%222%28%2251%B0%22%29%2B%2270%B0%22%29%22%22=%22%22%22102%B0%22%2B%2270%B0%22%22%22=%22%22%22172%B0%22

Edwin