The angles of a pentagon are in a ratio of 4:5:7:9:11. What is the sum of the measures of the smallest and largest angles?
So I solve for 36N = 540.
N = 15.
415 = 60.
1115 = 165.
Sum of smallest and largest angles is 225.
chrisk
2
Hmm… seems good to me. A helpful double-check is multiplying the other elements out by 15 and confirming that all the angles do add up to 540.
Yes. Easier would be to do 15(4+11) at the end of the problem.