The Total solution for NCERT class 6-12
It is given that the two opposite angles of a parallelogram are and .
We know that the opposite anglesof a parallelogram are equal.
Therefore,
…… (i)
Thus, the given angles become
Also,
Therefore the sum of consecutiveinterior angles must be supplementary.
That is;
Sinceopposite angles of a parallelogram are equal.
Therefore,.
And
Hence thefour angles of the parallelogram are , , and .