Problema Solution

Two angles are supplementary. One angle is 5 degrees less than four times the other. Find the measures of the angles

Answer provided by our tutors

let 'x' and 'y' be the angles


since x and y are supplementary we have


x + y = 180


one angle is 5 degrees less than four 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.