# In a parallelogra ABC = ADC = 30° [Measure of opposite angles is equal in a parallelogram]

BDC = 10°………….. given

BDA = 30° - 10° = 20°

DAB = 180° - 30° = 150°

BCD = DAB = 150° [Measure of opposite angles is equal in a parallelogram]

DBA = BDC = 10° [Alternate interior angles are equal]

In ΔDOC

BDC + ACD + DOC = 180° [Sum of all angles og a triangle is 180°]

10° + 70° + DOC = 180°

DOC = 180°- 80°

DOC = 100°

DOC = AOB = 100° [Vertically opposite angles are equal]

DOC + AOD = 180° [Linear pair]

100° + AOD = 180°

AOD = 180°- 100°

AOD = 80°

AOD = BOC = 80° [Vertically opposite angles are equal]

ABC + BCD = 180° [In a parallelogram sum of adjacent angles is 180°]

30° + ACB + ACD = 180°

30° + ACB + 70° = 180°

ACB = 180° - 100°

ACB = 80°

ACB = ACB = 80° [Alternate interior angles are equal]

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