Problema Solution

the measure of one angle in a supplementary pair is 10 more than twice the other.find the two angles

Answer provided by our tutors

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


let 'x' and 'y' be the supplementary pair then


x + y = 180


the measure of one angle in a supplementary pair is 10 more than twice the other


x = 10 + 2y


by solving the system of equations


x + y = 180

x = 10 + 2y


we find


x = 123.33


y = 56.67


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the two angles are 123.33 and 56.67.