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In parallelogram ABCD,
Given, Angle DAB = 70°
Angle DBC = 50°
So, Angle ADB = 50° (Alternate interior angle)
Similarly, Angle BCD = 70°
Now in ∆BCD,
Angle DBC + Angle BCD + Angle CDB = 180° (angle sum property of triangle)
= 50° + 70° + Angle CDB = 180°
= 120° + Angle CDB = 180°
= Angle CDB = 180° - 120°
= Angle CDB = 60°
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in parallelogram opposite angles are equal
/DAB = /DCB = 70°
in triangle DBC
sum of all angles of triangle is 180
50+70+ /CDB = 180
/CDB = 180-120 = 60°
corresponding angles of parallelogram are equal
/DBC =/ADB =50°
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