Question

ABCD is a rhombus ad BD is diagonal of it. If ∠=ABD=40° find ∠BAD​

Answer 1

Answer:

It is given that the two opposite angles of a parallelogram are  and .

We know that the opposite angles of a parallelogram are equal.

Therefore,

 …… (i)

Thus, the given angles become

Also, 

Therefore the sum of consecutive interior angles must be supplementary.

That is;

Since opposite angles of a parallelogram are equal.

Therefore,

And 

Hence the four angles of the parallelogram

Answer 2

Step-by-step explanation:

Given,

ABD=40°

Hint: BOA=90°..........( diagonal bisects at 90°)

We get,

=>AOB+OAB+ABO=180°

=>90°+OAB+40°=180°

=>AngleOAB=AngleBAC=50°

=>angleBDC = angleABD

=>BDC=40°

=>angleBAC=angleACD

=>ACD=50°