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In Figure, if line segment A B is para...

In Figure, if line segment `A B` is parallel to the line segment `C D ,` what is the value of y? (a)12 (b) 15 (c) 18 (d) 20

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Solution
Given that the line segment 'AB' is parallel to the line segment 'CD'.
We need to determine the value of 'y'.
Since, '/_ABD' and '/_BDC' are consecutive interior angles, then their sum must besupplementary.
Thus, we have,
'/_ABD+/_BDC=180@'
Let us substitute the values of the angles in the figure, we get,
'(y+2y+y)+(5y)=180@'
Adding the values, we get,
'9y=180@'
Dividing both sides by '9', we have,
'y =180@/9
'y=20@'
Thus, the value of 'y' is '20@'
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RD SHARMA-LINES AND ANGLES -All Questions
  1. In Figure, the value of x is (a) 12 (b) 15 (c) 20 (d) 30

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  2. In Figure, which of the following statements must be true? (i) a+b=d...

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  3. If two interior angles on the same side of a transversal intersectin...

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  4. In Figure, if A B||C D , then the value of x is ...

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  5. A B and C D are two parallel lines. P Q cuts A B\ a n d\ C D at E\ ...

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  6. Two lines A B\ a n d\ C D intersect at Odot If /A O C+/C O B+/B O D=27...

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  7. In Figure, P Q||R S ,\ /A E F=95^0,\ /B H S=110^0\ a n d\ /A B C=x^0do...

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  8. In Figure, if l1||l2, what is the value of x ? (a)90^0 (b) 85^0 (...

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  9. In Figure, if l1||l2 , what is x+y in terms of w\ a n d\ z? (a) 18...

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  10. In Figure, if l1||l2 , what is the value of y ? (a) 100...

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  11. In Figure, if l1||l2a n d\ l2||l4, what is y in terms of x? (...

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  12. In Figure, if l||m , what is the value of x? (a) 60 (b) 50 (c) 45...

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  13. In Figure, if line segment A B is parallel to the line segment C D...

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  14. In Figure, if C P\ ||D Q , then the measure of x is (a) 130^0 (b) 105...

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  15. In Figure, if A B||H F\ a n d\ D E\||F G , then the measure of /F D E ...

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  16. In Figure, if lines l\ a n d\ m are parallel, then x= (a) 20...

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  17. In Figure, if A B||C D , then x= (a) 100^0 (b) 105^0 (...

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  18. In Figure, if lines l\ a n d\ m are parallel lines, then x= ...

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  19. In Figure, if l\ m , then m= 105^0 (b) 65^0 (c) 40^0 (d) 25^0

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  20. In Figure, if lines l\ a n d\ m are parallel, then the value of x is...

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