Mathematics
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.

Related Questions
In the given figure, the lines AB, CD and EF intersect at a point O. If ∠BOD = x°, ∠AOE = 2x° and ∠COF = 90°, find ∠AOE and ∠AOC.

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 each of the following figures, AB || CD and EF is a transversal. Find each one of the unknown angles x, y, z in each case.
(i)

(ii)

(iii)

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

(ii)

(iii)
