Question

In figure, if AB and CD are parallel lines cut by transversal PQ, name the pair of : a) Vertically opposite angles b) Alternate interior angles c) Alternate exterior angles d) Corresponding angles e) Co interior angles

Answer 1

Answer:

a) Vertically opposite angle

B and C

b) Alternate interior angles

same b and C

C) Alternate exterior angles

a and d

D) Corresponding angles

C and d

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Answer 2

Consider two parallel line l // m and cut by a transversal t which makes angles 1 , 2 , 3 and 4 at with line l and 5,6 , 7 and 8 with m .

From the figure , following are the angles related to each other :

Vertically opposite angles : When two lines intersect each other , the pair of angles formed vertically opposite are equal to each other .

• ∠1 = ∠8
• ∠2 = ∠5
• ∠3 = ∠4
• ∠7 = ∠6

Alternate interior angles : When two parallel lines are intersected by a transversal , the angles in the interior of parallel lines alternate to each other are equal .

• ∠8 = ∠2
• ∠3 = ∠7

Alternate exterior angles : When two parallel lines are intersected by a transversal, the angles in exterior of parallel lines alternate to each other are equal .

• ∠1 = ∠5
• ∠4 =∠6

Corresponding angles : When two parallel lines are intersected by a transversal, the corresponding angles formed are equal to each other .

• ∠1 = ∠2
• ∠3 = ∠6
• ∠4 = ∠7
• ∠8 = ∠5

Co - interior angles : When two parallel lines are intersected by a transversal, the sum of interior angles adjacent to each other is 180° .

• ∠3 + ∠2 = 180°
• ∠8 + ∠7 = 180°