Two lines AB and CD are cut by a transversal EF, as shown in the figure. Identify the given pair of angles as adjacent angles, vertically opposite angles, alternate angles, corresponding angles or co-interior angles.

(i) ∠6 and ∠7

(ii) ∠3 and ∠4

(iii) ∠4 and ∠8

(iv) ∠1 and ∠5

(v) ∠3 and ∠5

(vi) ∠2 and ∠4

(vii) ∠4 and ∠5

(viii) ∠2 and ∠7

(ix) ∠3 and ∠6

(x) ∠4 and ∠6

(xi) ∠2 and ∠6

(xii) ∠1 and ∠4

In the given figure, AB || CD and EF is a transversal. If ∠8 = 110°, find each one of the unknown angles, marked in the figure. Give reasons.

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.