Problema Solution

Two angles are supplementary if he sum of their measures is 180 degrees.The measure of the first angle is 18 degrees less than tow times the second angle. Find the measure of each angle.

Answer provided by our tutors

let 'x' and 'y' be the two supplementary angles


x + y = 180


the measure of the first angle is 18 degrees less than tw0 times the second angle


x = 2y - 18


by solving the system of equations


x + y = 180

x = 2y - 18


we find


x = 114 degrees


y = 66 degrees


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