Question

(i) In the given figure, if AB || CD, find the value of x.

(ii) In the given figure, If AB || CD, find the value of x.

(iii) In the given figure, AB || CD, If OA = 3x − 19, OB = x − 4, OC = x − 3 and OD = 4, find x.

Answer 1

(i) It is given that .

We have to find the value of .

Diagonals of the para

Now

So

Therefore and

Hence

(ii) It is given that

We have to find the value of

Now

So

Therefore or

Hence x = $\frac{1}{2}$ or x = 2.

For x = $\frac{1}{2}$, OD is negative.

Hence

(iii) It is given that.

And, and

We have to find the value of

Now

So

Therefore and

Hence or _.