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

(1) PQ is transversal line , as you know A line that cuts two or more line { parallel or unparallel lines} is known as transversal line.

(2) eight angles e.g., ∠AXP , ∠PXB , ∠BXY ,∠YXA , ∠CYX , ∠CYQ , ∠QYD, ∠DYX.

(3) eight angles .
e.g., interior alternate angles : ∠AXY, BXY , ∠CYX and ∠DYX
exterior alternate angles : ∠AXP, ∠BXP, ∠CYQ and ∠DYQ.

(4) four : (∠BXY, ∠DYQ ) ; (∠PXB, ∠YXD ) ; (∠AXY, ∠CYQ ) and (∠AXP, ∠CYX)


(5) two
left side of PQ tranversal line : ∠AXY, ∠CYX
right side of PQ tranversal line : ∠BXY, ∠DYX

Answer 2

Solution :

1 ) PQ is a transversal to lines AB and

CD .

2 ) Total 8 angles are formed , They

are ,

<PXB , <PXA,

<BXQ , <AXQ,

<DYP , <CYP ,

<QYD , <QYC

3 ) Two pairs of alternate angles

are formed they are,

( <AXQ , <PYD ),

( <BXQ , <PYC )

4 ) Four pairs of corresponding angles

are formed , they are

( <PXB , <PYD ),

( <BXQ , <DYQ ),

( <PXA , <PYC ),

( <AXQ , <CYQ )

5 ) Two pairs of interior angles same

side of the transversal formed , they

are ,

( <BXQ , <DYP ),

( <AXY , <CYX )

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