In the given figure, AB || CD. If ∠BAO = 110°, ∠AOC = 20° and ∠OCD = x°, find the value of x.

In the given figure, AB || CD. If ∠ABO = 130° and ∠OCD = 110°, then ∠BOC = ?

Fill in the blanks in each of the following to make the statement true:

(i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are …..

(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ……….

(iii) Two lines perpendicular to the same line are …….. to each other.

(iv) Two lines parallel to the same line are ….. to each other.

(v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the lines are …………

(vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180°, then the lines are ……

In Fig 8.117, p is a transversal to lines m and n, ∠2 = 120° and ∠5 = 60°. Prove that m||n.

In Fig 8.116, if l||m||n and ∠1 = 60°, find ∠2

In Fig. 8.136, if CP || DQ, then the measure of x is

In Fig. 8.142, if lines l and m are parallel, then the value of x is

In Fig. 8.138, if lines l and m are parallel, then x =

In Fig. 8.137, if AB|| HF and DE||FG, then the measure of ∠FDE is

In Fig. 8.132, if l₁ || l₂, what is the value of y?

In Fig. 8.134, if l || m, what is the value of x?