Problema Solution

a pair of supplementary angles is in the ratio of 4:5

Answer provided by our tutors

Two Angles are Supplementary if they add up to 180 degrees.


Let x and y are the supplementary angles in the ration 4:5 thus


x + y = 180


x : y = 4 : 5


5x = 4y


by solving the system of equations


x + y = 180

5x = 4y


we find


x = 80 degrees


y = 100 degrees


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the pair of supplementary angles are 80 degrees and 100 degrees.