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In trianglePQR, angleP=72^(@), M is the ...

In `trianglePQR, angleP=72^(@)`, M is the mid point of side QR, and L and N are the feet of perpendicular drawn from M to PQ and PR respectively . If LM=MN, then what is the measure of `angleNMR` ?

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The correct Answer is:
`36^(@)`
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NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6b
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  2. In the given figure AD and CE are two altitude of triangleABC. Prove t...

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  3. D is a point on the side BC of triangleABC such that angleADC= angleBA...

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  4. The diagonal B D of a parallelogram A B C D intersects the segment A E...

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  5. Prove that the line segments joining the mid-points of the sides of a ...

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  6. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

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  7. In a triangle A B C , let P and Q be points on AB and AC respectively...

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  8. from the adjoining figure, prove that trianglePQR~triangleABC. Hence p...

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  9. In Figure, A D and B E are respectively perpendiculars to B C and A ...

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  10. In a triangle A B C ,\ \ A D|B C and A D^2=B DxxC Ddot Prove that A ...

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  11. If one diagonal of a trapezium divides the other diagonal in the ratio...

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  12. One angle of a triangle is equal to one angle of another triangle and ...

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  13. In the adjoining figure two medians AD and BE of a triangleABC meet ea...

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  14. In an isosceles triangle A B C, the base A B is produced both the way...

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  15. Two poles of height a metres and b metres are p metres apart. Prove th...

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  16. E si a point on side AD produced of a parallelogram ABCD and BE inters...

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  17. In a right angled triangle with sides a and b and hypotenuse c ,...

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  18. in the given figure, if triangleABE cong triangleACD prove that triang...

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  19. A man wishes to determine the height of a tall building . In the middl...

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  20. In trianglePQR, angleP=72^(@), M is the mid point of side QR, and L an...

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