In each of the following figures, AB || CD and EF is a transversal. Find the value of x in each case.

(i)

(ii)

(iii)

In the given figure, AB || CD. If ∠BAC = (3x + 15)° and ∠ACD = (2x + 45)°, find the value of x.

Also, find the measures of ∠BAC and ∠ACD.

In the given figure, AB || DC and BC || AD. Find the values of x, y and z.

In each of the figures given below, AB || CD. Find the unknown angles, giving reasons.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)