Question

ABCD is a rhombus and BD is a diagonal of it if angle a BD is 40 degree find angle BAD​

Answer 1

Answer:

It is given that the two opposite angles of a parallelogram are  and .



We know that the opposite angles of a parallelogram are equal.

Therefore,



 …… (i)

Thus, the given angles become



Also, .

Therefore the sum of consecutive interior angles must be supplementary.

That is;



Since opposite angles of a parallelogram are equal.

Therefore,



And 

Hence the four angles of the parallelogram are , ,  and .