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In first figure,
Angle x = 120......Corresponding angles
In second figure,
Angle a + 60 = 180.....allied angles
Angle a = 180 - 60
Angle a = 120
Angle d = Angle a......Alternate angles
Angle d = 120
Angle c + Angle d = 180.....Linear pair
Angle c + 120 = 180
Angle c = 180 - 120
Angle c = 60
Angle b = Angle c ..... vertically opposite angles
Angle b = 60
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