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Given quadrilateral ABCD is a ||gm.
In ||gm we have,
Opposite angles are equal
Sum of all angles is 360°
c = 50°
a + b + c + 50° = 360°
a + a + 50° + 50° = 360°
2a + 100° = 360°
2a = 260°
a = 130° = c
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Angle C = 50° [opposite angles of parallelogram are of equal measure]
Angle B = 180°-50°=130°[The adjacent angles of parallelogram are supplementary]
Angle D=Angle B= 130° [opposite angles of parallelogram are of equal measure]
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