Problema Solution

The sum of two angles is 85. Angle 2 is 115 smaller than 3 times angle 1. what are the measures of the two angles?

Answer provided by our tutors

let


a = the measure of Angle 1

b = the measure of Angle 2


The sum of two angles is 85


a + b = 85


Angle 2 is 115 smaller than 3 times angle 1


b = 3a - 115


by solving the system of equations


a + b = 85

b = 3a - 115


we find


a = 50 degrees


b = 35 degrees


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the two angles measures are 50 and 35.