Question

If a diagonal of a parallelogram bisects one of the
angles of the parallelogram, prove that it also
bisects the angle opposite to it and that the two
diagonals are perpendicular to each other.​

Answer 1

Step-by-step explanation:

If a diagonal of a parallelogram bisects one of the angles of the parallelogram, it also bisects the second angle and then the two diagonals are perpendicular to each other. Given: ABCD is a ||gm. ... Given: ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. To Prove: (i) ABCD is a square.

Answer 2

Answer:

Step-by-step explanation:

In triangle AOB and COD

AB=CD(because ABCD is a parallelogram

the angles are equal (given)

by CPCT,

angle DOC=AOB

x+x+x+x=360

4x=360

x=90

l hope this helps you..

Please mark me as brain list  

BY Tolety Roshan