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Fractions and Decimals | Exercise

Question 62

(16/25) > (13/25)

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  • Solution

  • Transcript

True.

Given two fractions are like fractions,

Fractions with same denominators are called like fractions.

So, 16 > 13

Therefore, (16/25) > (13/25)

"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 and subscribe to lido for more such q a thank you for watching "

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Question 62

(16/25) > (13/25)

  • Solution

  • Transcript

True.

Given two fractions are like fractions,

Fractions with same denominators are called like fractions.

So, 16 > 13

Therefore, (16/25) > (13/25)

"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 and subscribe to lido for more such q a thank you for watching "

Our top 5% students will be awarded a special scholarship to Lido.

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