Problema Solution

One angle is twice its supplement increased by 93 degrees. find the measures of the two supplementary angles

Answer provided by our tutors

let 'x' and 'y' represent the supplementary angles


x + y = 180


One angle is twice its supplement increased by 93 degrees:


y = 2x + 93


by solving the system of equations:


x + y = 180


y = 2x + 93


we find:


x = 29 degrees


y = 151 degrees


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the two supplementary angles are 29 and 151 degrees.