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Line segments `A B\ a n d\ C D` intersect at `O` such that `A C || D Bdot` If `/_C A B=45^0a n d\ /_C D B=55^0,` then `/_B O D=` `100^0` (b) `80^0` (c) `90^0` (d) `135^0`

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/_CAO and /_OBD are alternate opposite angles therefore they are equal
.Thus Sum of angle ODB and angle OBD is equal to `100`
Therefore `180-100=80^@=
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RD SHARMA-TRIANGLE AND ITS ANGLES-All Questions
  1. In a A B C , if /A=60^0,\ /B=80^0 and the bisectors of /B\ a n d\ /C ...

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  2. If the bisectors of the acute angles of a right triangle meet at O ...

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  3. Line segments A B\ a n d\ C D intersect at O such that A C || D Bdot I...

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  4. The bisectors of exterior angles at B\ a n d\ C of /A B C meet at Od...

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  5. In a A B C ,\ /A=50^0a n d\ B C is produced to a point Ddot If the bi...

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  6. The side B C of A B C is produced to a point Ddot The bisector of /A ...

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  7. In Figure, if E C || A B ,\ /E C D=70^0A N D\ /B D O=20^0 , then /O B ...

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  8. In Figure, x+y= 270 (b) 230 (c) 210 (d) 190^0

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  9. If the measures of angles of a triangle are in the ratio of 3:4:5, w...

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  10. In Figure, if A B|B C , then x= 18 (b) 22 (c) 25 (d) 32

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  11. In Figure, what is z in terms of \ a n d\ y ? x+y+180 (b) x+y-180 18...

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  12. In Figure, for which value of x is l1 l2 ? 37 (b) 43 (c) 45 (d) 47

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  13. In Figure, what is y in terms of x\ ? 3/2x (b) 4/3x (c) x (d) ...

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  14. In Figure, if l1 l2, the value of x is 22 1/2 (b) 30 (c) 45 (d) 60

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  15. In Figure, what is the value of x ? (a)35 (b) 45 (c) 50 (d) 60

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  16. In r s t ,\ what is the value of x\ ? 40 (b) 90^0 (c) 80^0 (d) ...

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  17. In Figure, the value of x is 65^0 (b) 80^0 (c) 95^0 (d) 120^0

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  18. In Figure, if B P||C Q and A C=B C , then the measure of x is 20^0 (b...

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  19. In Figure, A B\ a n d\ C D are parallel lines and transversal E F in...

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  20. The base B C of triangle A B C is produced both ways and the measure...

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