Question

4. If the adjacent angles of a parallelogram are equal then is the parallelogram
a rectangle ? Justify your answer by arguments.​

Answer 1

Answer:

suppose abcd is a parallelogram

where a = b (given) -- (I)

we know,

a +b = 180⁰ (since, ac||bd). --(ii)

from (I) and (ii)

a = 90⁰.

we also know,

parallelogram having one right angle is a rectangle.

proved.