SOLUTION: The interior angles of a polygon are in the ratio 1:2:3:4:5. Find the degree measure of the second largest angle.

Algebra ->  Polygons -> SOLUTION: The interior angles of a polygon are in the ratio 1:2:3:4:5. Find the degree measure of the second largest angle.       Log On


   

Question 1090856: The interior angles of a polygon are in the ratio 1:2:3:4:5. Find the degree measure of the second largest angle.
Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.
The angle measures are x, 2x, 3x, 4x, and 5x degrees.


Their sum is x + 2x + 3x + 4x + 5x = 15x, and it is equal to (5-2)*180°,

since (5-2)*180° is the sum of interior angles of your pentagon.


     (It is a pentagon, isn't it ?)


So, your equation is  15x = 540°  with the solution  x = 540%2F15 = 36°.


Thus the angles are  36°,  72°,  108°,  144°  and  180°.


Having this, can you answer the problem's question ?