SOLUTION: A 5-sided polygon has interior angles as ∠a,∠2a,∠3a,∠4a, and ∠5a. If the smallest exterior angle is 30,find the second smallest interior angle.

Algebra ->  Polygons -> SOLUTION: A 5-sided polygon has interior angles as ∠a,∠2a,∠3a,∠4a, and ∠5a. If the smallest exterior angle is 30,find the second smallest interior angle.       Log On


   

Question 852691: A 5-sided polygon has interior angles as ∠a,∠2a,∠3a,∠4a, and ∠5a. If the smallest exterior angle is 30,find the second smallest interior angle.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Use the formula

%22%22=%22%22%28n-2%29%2A%22180%B0%22

substituting 5 for n to calculate the sum, then write the sum of the
5 given interior angles and set it equal to that value:

a+2a+3a+4a+5a =  

Then solve that equation for "a".

Then after getting "a", the second smallest angle will be "2a°.

Edwin