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

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Answer:

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

Hope this helps!

:)

First angle is 73 and second angle is 107.

Given that,

  • Sum of two angles is 180.
  • One angle is 34 greater than other angle.
  • Let one angle be X, so other angle will be X+34.

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

X + (X + 34) = 180

2X = 180 - 34

2X = 146

X = [tex]146 \div 2[/tex]

X = 73

X + 34 = 73 + 34 = 107

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

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