Cosul lotuuseumuritule.
in the figure, two parallel lines are cut by a transversal. one of the angles is labeled. find the measures of the other angles and label them
137°
117°
43
53*
137
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The answer to your question is below

Step-by-step explanation:

I numbered the squares, see the picture below

Angle 3 and the angle given are vertical angles so they measure the same

             angle 3 = 137°

The sum of the angles 1, 2, 3 and 137 equals 360°, so

  angle 1 + 137 + angle 3 + 137 = 360

   and angle 1 and 3 are vertical angles so angle 1 = angle 3

   2angle 1 = 360 - 137 -137

    2 angle 1 = 86

        angle 1 = 86 /2

        angle 1 = 43°

        angle 2 = 43°

The angle given and the angle 5 are corresponding angles, they measure the same

        angle 5 = 137°

Angle 5 and 6 are vertical angles, they measure the same

        angle 6 = 137°

Angle 2 and angle 7 are corresponding angles, they measure the same

        angle 7 = 43°

Angle 3 and angle 6 are corresponding angles

         angle 6 = 137°

Angle 4 and 7 are vertical angle, so they measure the same

         angle 4 = 43°

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step-by-step explanation: