Question

ABCD is a parallelogram .Points P and Q are taken on the sides AB and AD respectively and the parallelogram PQRA is formed . if angle C -45 ,find Angel R​

Answer 1

Answer:

Join AQ and PC .

Since ABCD is a parallelogram .

⇒ AB | | DC

⇒ AP | | QC

∵ AP and QC are parts of AB and DC respectively]

Also, AP = CQ [given]

Thus, APCQ is a parallelogram .

We know that diagonals of a parallelogram bisect each other .

Hence AC and PQ bisect each other .