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If two straight lines intersect each oth...

If two straight lines intersect each other, then prove that the ray opposite to the bisector of one of the angles so formed bisects the vertically opposite angles.

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MODERN PUBLICATION-LINES AND ANGLES-EXERCISE
  1. In the fig. AB is a mirror, PQ is the incidentray and QR, the reflecte...

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  2. Prove that the bisectors of two adjacent supplementary angles include ...

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  3. If two straight lines intersect each other, then prove that the ray op...

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  4. In the fig. AB||CD are cut by a transveral t at E and F respectively. ...

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  5. In the fig. AB||CD and angle1 and angle2 are in the ratio 3:2 determin...

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  6. In the fig. AB||CD find the value of x

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  7. In the fig. AB||CD and BC||ED. Find the value of x

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  8. In the fig. AB||CD> find the value of x

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  9. In the fig. state which lines are parallel and why?

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  10. In the fig. if l||m, n||p and angle=90^@ and find angle2

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  11. Which pari of lines in the fig. are parallel? Given reasons

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  12. In the fig. ABCD is a quadrilateral in which AB||DC and AD||BC prove t...

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  13. Two lines are perpendicular to the same line are ......... to each oth...

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  14. Prove that if one angle of a triangle is equal to the sum of the other...

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  15. Two lines AB and CD intersect at O. if angleAOC+angleCOB+angleBOD=270^...

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  16. In the fig. p is a transversal to lines m and angle2=120^@ and angle5=...

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  17. If l,m and n are three straight lines such that l||m and l||n then pro...

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  18. In the fig. arms BA and BC of angleABC respectively parallel to arms B...

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  19. In triangleABC, if angleB=76^@, and angleC=48^@ find angleA

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  20. In triangleABC, if angleA=55^@, angleB=40^@ find angleC

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