Question

Answer the following questions, from the figure given below:
(1) Which line is the transversal of other two lines?
(2) In all, how many angles are formed?
(3) How many pairs of alternate angles are formed? Which are they?
(4) How many pairs of corresponding angles are formed? Which are they?
(5) How many pairs of interior angles on any one side of the transversal are formed? Which are they?

Answer 1

Dear Student,

solution of your questions are as follows,

1) Line PQ is transversal of other lines viz. AB and CD.

The reason: A line which intersects two or more lines at distinct points is called transversal.

2) Angles formed 8.

A transversal formed in total eight angles out of which 4 are interior and 4 are exterior.

3) Four pair of Alternate angles

2 pair of Alternate interior angles
2 pair of Alternate exterior angles

let we mark 1,2 ,3,4 angles starting from left at X and by same way at Y 5,6,7,8

➡️2 pair of Alternate interior angles

( angle 4 and 6),( angle 3 and 5)

➡️2 pair of Alternate exterior angles

(angle 1 and 7) ,(angle 2 and 8)

4) 4 pair of corresponding angles

1) angle 1 and 5
2) angle 2 and 6
3) angle 4 and 8
4) angle 3 and 7

5) 2 pair of interior angles on the same side of transversal. these are

1) angle 4 and 5
2) angle 3 and 6

hope this helps you.

Answer 2

1 ) PQ is the transversal of lines AB and CD.

[ Any line which intersects two lines in

two distinct points is called a transversal .]

2 ) 8 angles are formed by the transversal.

They are <1 , <2 ,<3, <4 , <5 , <6 ,<7 and <8

3 ) Alternate angles :

pair of interior angles are ,

( <3 , <5 ) , ( <4 , <6 )

pair of exterior angles are ,

( <2 , <8 ) , ( <1 , <7 )

4 ) Four Pair of Corresponding Angles are ,

( <1 , <5 ) , ( <4 , <8 ) ,

( <2 , <6 ) , ( <3 , <7 )

5 ) Two pair of interior angle same side of

the transversal are ,

( <4 , <5 ) , ( <3 , <6 )

I hope this helps you.

; )