Q16 of 33 Page 108

In the parallelogram ABCD, ∠BAD = ∠ABC, the parallelogram ABCD is a


We know, In a parallelogram sum of adjacent angles is 180°


⇒ ∠BAD + ∠ABC = 180°


⇒ ∠BAD + ∠BAD = 180°


⇒ 2∠BAD = 180°


⇒ ∠BAD = ∠ABC = 90°


And we know, that if an angle of a parallelogram is right angle, then it’s a rectangle.

More from this chapter

All 33 →
16

In the parallelogram ABCD, ∠BAD = 75° and ∠CBD = 60°, then the value of ∠BDC is

 16

Let us write which of the following geometric figure has diagonals equal in length.

 16

In the parallelogram ABCD, M is the mid-point of the diagonal BD; if BM bisects ∠ABC, then the value of ∠AMB is

 16

In the rhombus ABCD, ∠ACD = 40°, the value of ∠ADB is