Question

name the pair of angle in each figure

Answer 1

angle 1 and 2 are corresponding angles
angle 3 and 4 are alternate interior angles
angle 5 and 6 are co-interior angles
angle 7 and 8 are corresponding angles
angle 9 and 10 are alternate interior angles
angle 11 and 12 are linear pairs

Answer 2

Answer:

Corresponding angles: 1 and 2, 7 and 8

Alternate interior angles: 3 and 4 , 9 and 10

Linear pair: 11 and 12

Co interior angles: 5 and 6

Step-by-step explanation:

When two parallel lines are intersected by one line called transversal,

if angle lie on same side and different vertices then they are called corresponding angles.

When angle are on same side and are adjacent on same vertex this forms

linear pair of angles.

a) Angle 1 and angle 2 are corresponding angles.

   as they follow properties as stated for corresponding angles.

b) Angle 3 and angle 4 lie on different vertices and are on opposite sides,

   and they are also on interior.

   Angle 3 and 4 are alternate interior angles.

c) Angle 5 and 6 are on same side and on different vertices.

   Hence these are co-interior angles.

d) Angle 7 and 8 are also on same side and follow properties as stated      

   for corresponding angles.

   Hence they are corresponding angles.

e) Angle 9 and 10 are on different vertices and opposite side in interior.

   9 and 10 are alternate interior angles.

f) Angle 11 and 12 form a linear pair as stated above.