Question

In figure 2.20, if ∠a≅∠b and ∠x≅∠y then prove that line L || line n.

Answer 1

as , <A is congruent to <b
:. line l is || line m .............1
as <x is congruent to <y
:. line m is || line n .........2
:. from 1 & 2
as line L || line m
and line m || line n
:. line L || line n .........proved by transitivity

Answer 2

Solution :

If <a is congruent to <b then

l // m -----( 1 )

If <x is congruent to <y then

m // n -----( 2 )

From ( 1 ) and ( 2 ) , we get

If l// m and m // n then

l//n [ Transitive Property ]

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