Question

In the given figure, PQ || AB and PR || BC. If ∠QPR = 102°, determine ∠ABC. Give reasons.

Answer 1

The figure is given as follows:

We need to find

Let us produce BA to meet PR at point G.

It is given that.

Thus, and are corresponding angles.

Therefore,

Also it is given that

(i)

Similarly, it is given that.

Thus,and are consecutive interior angles.

Therefore,

From equation (i) :

Hence, the required value for is.