Lines Parallel to the Same Line (Theorems and Examples) Video Lecture - Mathematics (Maths) Class 9

hello friends this video on lines and
angles part 11 is brought to you by exam
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understand one more small concept that
the lines parallel same lines there are
two lines they're parallel to each other
the third line is all the lines of
gathered together that is it two lines
are parallel to same line okay and if I
say that would not parallel to him Ellis
family to him and also so in that case
if was a tunnel then I can say that L is
also passing
to end okay so if both the lines Ln n
are parallel to common line then both
this lines Ln and are also parallel to
each other that is what it says
okay so to prove it let's do it let's
suppose they have three lines okay he'll
install transfers this angle B angle 1
and angle 2 and angle 3 angle 1 will be
equal to M into y and given L is
parallel to M hey and we have to prove
then L in a mukbang since L is parallel
to M so they are what corresponding
angle now let's take a girl to vinegar 3
they will be same why because M is
parallel to n so they are also
corresponding angles using these two
equation I can say that angle 1 is been
doing every so if you note this angle 1
and angle 3 they have in the same
transversal so using the theorem in fact
using maxium known here this is our
corresponding angles we had
even the Exim we can see that since I
kill one and I kill three are equal
right so we can say that L is bad and
using corresponding and axiom converse
correct because they have same
transversal the same transversal is
creating these two angles one and three
and their corresponding angles and they
are equal that means L is parallel and
since we have proved this snow since we
have proved this this is a theorem this
is a theorem whatever I showed this is
the theorem liquidated yet this is not
accessing other prove it hey lines which
are two same lines
okay and this is true even for more than
three lines so with this I think we're
done with the concepts will solve some
questions I hope you understand why we
have axioms and may have theorems so we
had axioms in the case of corresponding
angles where we prove this using just by
construction but for our angles angles
parallel lines I we have proved it using
axioms so they are terms okay
also linearly reminders new crew using
construction that was axiom but vertical
opposite angle using axioms and other
concepts not by construction so that was
okay so with this it starts with some
miracles the question says that if PQ is
parallel to ours and my Y is equal to 40
degree find x and y that picture is not
given me draw this this picture will be
given for you in the exam suite worry
there is a line PQ - they are parallel
and there is a point M here somewhere
right and this will join this point is U
so at this point and this is X this is y
and it is given that M xq is 135 it is
my are my are this forty degree so
please know what this figure will be
given to you in the exam so don't worry
about this you define angle X my so I
accept my directly we can find soonest
that record line L so line L is parallel
to PQ and is also rather into us because
P Q and R as his values if you draw in
the line had to be palatable now you see
I can easily find this angle because
these two are angles at the same side
like easy might this angle is also easy
because it all right - every causes I
got one in this record a negative so I
can just say that you see angle 1 plus
135 degree is equal to 1 1 degree okay
go here your angle so angle 1 is what
you wanna be - 135 degree you notice
nothing but fortunately soon early angle
2 will be equal to one angle this one
already be right why your alternate
angle so what do you define I'm going to
find angle X my and that is nothing but
take that 1 plus mu 2 and that is
nothing but what do you find agree so
already but please know what I have
sword in a rough way so in exam please
write a better English saying that for
example I can think of two is equal to
angle Y it is point B say y MZ y they
are all triangles like that you can
write you can write in the better
English this is the rough I am solving
it in roughly the question says that if
a transversal into say two lines see
there are two lines and this is
transversely intersecting them such that
the bisectors of the pair of
corresponding angles is take these two
is a pair of corresponding angles and
their bisectors
and these bisectors our pal
Ellis palatal I'm given and listen mark
designers one two three four and since
they're bisectors angle 1 is equal to
angle 2 these are all given items
Hey given that the bisector surf paddle
will spiral to him
and since their bisector angle 1 is
equal to 2 able to do and I go 3 is good
reminder for that is given so we have to
prove so we have to prove that these
lines are parallel so let me name this
lines gave me head see we have to be his
father to see ok so to prove a be a span
that you CD and what we have to prove we
have to prove that angle 1 plus 2 is
going to and get 3 plus hey you can
prove that these are equal you can say
that you can put on this design 1 plus 2
Omega 3 plus 4 are equal we can see that
they are the corresponding angle they
are equal so by using items it is
possible okay now I am is parallel to M
so this L is parallel to M be can you
see that
just think of this line extended this L
is parallel to M I can see that angle 1
is will do anything for spending in it
okay okay now if you see we have to
prove 1 1 plus 2 is equal to plus 1 so 1
is 1 2 3 is given we have already proved
two is good before if we can prove that
would be great for us if anyone is ready
to hang on 3 he agency
Megan see that equal to instead of idea
three against is an angle for hey this
is equation 1 this is equation 1 this is
equation C so this is using 1 2 & 3
using 1 2 & 3 I can say that I will do
is equal to a guffaw
now this is 3 and this is the statement
is it suppose for using 3 & 4 I can say
that you merge both right so I can say
that angle 1 plus I 2 is equal to equal
sign since I have proved this this I can
see the end with this pipe so with this
since this is there I can say that he is
bothered to see using corresponding
angle X a conversation please see who he
understand what we did so he knew that
there are these lines 1 2 3 4 designed
us we just marked it and it is given
that 1 square root 2 3 squared - 4 + L
expanded to him since it is parallel to
M we know that 1 is equal to 3
corresponding I guess now you reveal
information I can see that it since one
is good too greedy and it is given that
1 is equal to 2 and 3 is equal to 4 then
I can see that 2 is going to go if you
add these statements you get 1 plus 2 is
equal to 3 plus 1 that is what we have
to prove it in the back direction so see
to solve these kind of questions you
approach from given data right even it
down so from even it is parallel to him
so I can make out that design has a
equal in this direction plus result
required so the result required by the
amis pilot to CD since Abe is parallel
to CD be and to prove that I plus 2
suppose you go somewhere you come up
with one value example if this we came
out keep up with this figure right so
this data L is parallel to M and this
would be a misses so from this data we
tried to do this and from the result we
knew that backward if you can apply
backward logic you knew that you have to
prove this and this all gum by explains
normally practice before express again
and then we prove this that angle 1 plus
2 is equal to 3 plus 4 and that would
actually easily prove that a V is
parallel to thank you visit our website
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