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If one of the four angles formed by t...

If one of the four angles formed by two intersecting lines is a right angle, then show that each of the four angles is a right angle.

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To prove that if one of the four angles formed by two intersecting lines is a right angle, then all four angles are right angles, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Information:** - Let lines AB and CD intersect at point O. - Assume angle AOD = 90° (one of the angles formed by the intersecting lines). ...
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RD SHARMA-LINES AND ANGLES -All Questions
  1. Prove that the bisectors of a pair of vertically opposite angles are i...

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  2. If two straight lines intersect each other, prove that the ray oppo...

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  3. If one of the four angles formed by two intersecting lines is a rig...

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  4. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

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  5. In a parallelogram A B C D diagonals A C\ a n d\ B D intersect at O\ a...

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  6. A B ,\ C D ,\ a n d\ E F are three concurrent lines passing through ...

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  7. In Figure, lines A B\ a n d\ C D intersect at O.

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  8. Which of the following statements are true (T) and which are false(F...

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  9. Fill in the blanks so as to make the following statements true: (i) If...

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  10. In Figure, m||n\ and /1=65^0. F i n d /5 a n d\ /8

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  11. In Figure, find the values of x\ a n d\ y and then show that A B||C ...

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  12. In Figure, If A B C D ,\ C D E F\ a n d\ y : z=3:7, find x

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  13. In Figure, m||n AND ANGLES 1\ a n d\ 2 are in the ratio 3:2\ dot Deter...

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  14. In Figure, l , m and n are parallel lines intersected by a transvers...

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  15. In Figure, given that A B||C Ddot If /1=(120-x)^0a n d\ /5=5x^0, find...

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  16. In Figure, given that A B||C D If /4=(x+20)^0a n d\ /5=(x+8)^0, find ...

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  17. In Figure, given that A B||C D If /2=(3x-10)^@ and /8=(5x-30)^@, dete...

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  18. In Figure, given that A B||C D If /1=(2x+y)^0a n d\ /6\ (3x-y)^0, det...

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  19. In Figure, given that A B||C D. If /2=(2x+30)^0,\ /4=(x+2y)^0a n d\ /6...

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  20. In Figure, given that A B||C D If /2=2(/1) , determine /7.

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