Problema Solution

two angles are supplementary, one angle is 5 degrees less than 4 times the other. find the measure of the angles

Answer provided by our tutors

let 'x' and 'y' represent the angles


Two angles are supplementary if they add up to 180 degrees thus:


x + y = 180


one angle is 5 degrees less than 4 times the other:


x = 4y - 5


by solving the system of equations:


x + y = 180


x = 4y - 5


we find:


x = 143 degrees


y = 37 degrees


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the angles are 143 degrees and 37 degrees.