Fractions with same denominators are called like fractions.
So, 16 > 13
Therefore, (16/25) > (13/25)
Video transcript
"hello students welcome to lido q a video
session
i am sef your maths tutor and question
for today is
in figure 10.37 angle pqr
is equal to 100 degree where p
q and r are points
on a circle with center o find
angle o p r since
you can see the figure as per the given
situation
the angle which is subtended by the arc
at the center of the circle is double
the angle which is suspended by the arc
at any point on the remaining part of
the circle
so as per this property the angle which
is subtended
at the center of the circle is double
the angle subtended by arc
on the remaining part of the circle so i
am talking about this
two angle this
and this let us continue
so i'll write summarize this statement
that
the angle
subtended
by an arc
at the center
of the circle
is
double the angle
subtended by the r
at
any point
on the circle
keeping this in mind the reflex angle
p por that is the at the center
will be equal to 2 times pqr
so angle
por equal to
2 times angle pq
r now we know the values of angle pqr
is 100 so angle por will be equal to 2
times 100
so angle por
2 into 100
and that is 200 angle por
now angle por here
is 200 therefore
we can say that o p and o r
are the radii of the circle so o p will
be equal to o r
and hence as these are equal radii
angle opr is will be equal to angle orb
and hence you can see here
that angle por
which is external angle measurement so
here
we are talking now about this angle this
angle
so here this will be the angle por
as a reflex angle por is 200
we can say that angle por
will be equal to 360 minus 200
and that is 180 degree minus
okay one 360 minus 200 will be equal to
160 degree
and that is measurement of angle por
now o p and o r are the radii of the
circle as we have discussed above
so angle opr will be equal to angle or p
as we know that the sum of the angles of
the triangle is equal to 180 degrees
we can say that angle por plus angle opr
plus angle orp will be equal to 180
degree
so we'll continue over here
so as per our angle sum property
angle sum property plays an important
role over here
angle p o r
plus angle opr
plus angle or p will be equal to 180
degree
angle opr plus
angle opr will be equal to 180 minus
160 degree
and hence you can see here as opr is orp
we have taken two times
opr we have added two opr
and hence 180 minus 160 160 is our angle
por
so here we are transposing them
so 2 times opr will be equal to
180 minus 160 that is 20 and hence
angle opr is 10 degree
that is our required measurement if you
have any queries
you can drop it in our comment section
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thank you for watching
"