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For what value of x + y in figure will A...

For what value of x + y in figure will ABC be a line? Justify your answer.

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For ABC to be a line, the sum of the adjacent angles must be `180^(@) i.e., x + y = 180^(@)`.
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NCERT EXEMPLAR ENGLISH-LINES AND ANGLES -MULTIPLE CHOICE QUESTIONS
  1. In the given figure, if OP|"|RS, /OPQ = 110^(@) and /QRS = 130^(@), th...

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  2. Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of...

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  3. For what value of x + y in figure will ABC be a line? Justify your ans...

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  4. Can a triangle have all angles less than 60^(@)? Given reason for your...

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  5. Can a triangle have two obtuse angles ? Give reason for your answer.

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  6. How many triangles can be drawn having its angles as 45^(@), 64^(@) an...

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  7. How many triangles can be drawn having its angles as 53^(@), 64^(@) an...

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  8. In the figure, find the value of x for which the lines l and m are par...

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  9. Two adjacent angles are equal. Is it necessary that each of these angl...

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  10. If one of the angles by two intersecting lines is a right angles, what...

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  11. In the figure, which of the two lines are parallel and why ?

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  12. Two lines l and m , are perpendicular to the same line n. Are l and m...

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  13. In the figure, OD is the bisector of /AOC, OE is the bisector of /BOC ...

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  14. In the figure, /1 =60^(@) and /6 =120^(@) Show that the lines m and n ...

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  15. AP and BQ are the bisectors of the two alternate interior angles forme...

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  16. In the given figure, bisectors AP and BQ of the alternate interior ang...

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  17. In the figure, BA|""| ED and BC|""| EF. Show that /ABC = /DEF.

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  18. In the figure, BA || ED and BC || EF. Show /ABC + /DEF = 180^(@).

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  19. In the figure, DE |""| QR, AP and BP are bisectors of /EAB and /RBA, r...

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  20. A DeltaABC is right angled at A. L is a point on BC such that ALbot BC...

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