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Can a triangle have all angles less than...

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

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No, a triangle connot have all angles less then`60^(@)`, because if all angles will be less than `60^(@)`, then their sum will not be equal to `180^(@)` . Hence, it will not be a triangles.
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NCERT EXEMPLAR-LINES AND ANGLES -Lines And Angles
  1. Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. In the figure, DE|""| QR and BP are bisectors of /EAB and /RBA, respec...

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  19. A Delta ABC is right angled at A. L is a point on BC such that ALbot B...

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  20. Two lines are respectively perpendicular to two parallel lines. Show ...

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