Answer :

Consider a Parallelogram ABCD,


It is told that the side BC is produced to E and BCE = 1050.



From the figure, we can say that


BCE + BCD = 1800 (Since DCE is the straight angle)


By substituting the values we get,


1050 + BCD = 1800


BCD = 1800 - 1050


BCD = 750


We know in a parallelogram the opposite angles are equal and the sum of the adjacent angles is 1800.


i.e, C = A ...... (1)


B = D ...... (2)


C + D = 1800 ...... (3)


From Eq(1) we can write


A = 750.


From Eq(3), we can write


750 + D = 1800


D = 1800 - 750


D = 1050.


From Eq(2), we can write


B = 1050.


The angles A, B, C, D are750, 1050, 750, 1050.


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