SOLUTION: the measures of the two supplementary angles are in the 4:11. what is the measure of the larger angle?

Algebra ->  Angles -> SOLUTION: the measures of the two supplementary angles are in the 4:11. what is the measure of the larger angle?       Log On


   



Question 840335: the measures of the two supplementary angles are in the 4:11. what is the measure of the larger angle?

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
If the ratio is 4:11 , 11/(4+11) = 11/15 of the whole is the larger angle
so 11/15 * 180 = 1980/15 = 132 degrees. The smaller angle must be 180-132 = 48 degrees. Notice 48:132 = 4:11