# In a parall

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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