The sum of two angles is 180. The measure of one angle is 34 greater than the measure of the other angle. Right and solve a system of equations to determine the measurements of each angle

First angle is 73 and second angle is 107.

Given that,

According to the condition, calculation of given data are as follows,

X + (X + 34) = 180

2X = 180 - 34

2X = 146

X =

X = 73

X + 34 = 73 + 34 = 107

So, one angle is 73 and second angle is 107.

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The sum of two angles is 180.

x + y = 180

The measure of one angle is 34 greater than the measure of the other angle.

x - y = 34

=> 2x = 214

=> x = 107 deg

=> y = 107 - 34 = 73 deg

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