Home
Class 14
MATHS
Two parallel lines AB and CD are interse...

Two parallel lines AB and CD are intersected by a transversal EF at M and N respectively.
The lines MP and NP are the bisectors of interior angles `angle BMN` and `angle DNM` on the same side of the transversal. Then `angle MPN` is equal to :

A

`60^(@)`

B

`90^(@)`

C

`45^(@)`

D

`120^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.2|100 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.3|28 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise Fast Track Practice|104 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos
  • HCF AND LCM

    ARIHANT SSC|Exercise Exercise Higher Skill Level Questions|18 Videos

Similar Questions

Explore conceptually related problems

Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. If the lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal, then angleMPN is equal to

Two parallel lines 1 and m are intersected by a transversal p (see Fig.8.15) .Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

If two parallel lines are intersected by a transversal; the bisector of any two corresponding angles are parallel.

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is

If two parallel lines are intersected by a transversal , then the interior angles on the same side of the transversal are -

If two parallel lines are intersected by a transversal then prove that the bisectors of any pair of alternate interior angles are parallel.

Fill in the blanks in each of the following to make the statement true: (i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are.... (ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are... (iii) Two lines perpendicular to the same line are.... to each other. (iv) Two lines parallel to the same line are .......... to each other. (v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the line are... (vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180,then the line are .......

ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.1
  1. In the adjoining figure AB||DE, angleABC=67^(@) and angleEDC=23^(@) Fi...

    Text Solution

    |

  2. In the given figure AB||DE. Find a^(@)+b^(@)-c^(@):

    Text Solution

    |

  3. In the given figure AB||CE and BC||FG. Find the value of x^(@):

    Text Solution

    |

  4. AB||CD, shown in the figure. Find the value of x :

    Text Solution

    |

  5. In the figure PQ||LM||RS. Find the vlaue of angleLRS:

    Text Solution

    |

  6. In the figure AB||CD and DE||BF. Find the valeu of x :

    Text Solution

    |

  7. In the figure AB||CD, angleABE=100. Find angleCDE:

    Text Solution

    |

  8. In the figure AB||CD, find x^(@) ("i.e. "angleCDF):

    Text Solution

    |

  9. In the given figure XY||PQ, find the value of x :

    Text Solution

    |

  10. In the given figure AB||CD and EF||DQ. Find the value of angleDEF:

    Text Solution

    |

  11. In the given figure AB||CD||EF and GH||KL Find m angle HKL.

    Text Solution

    |

  12. Which one of the following statements is false

    Text Solution

    |

  13. AB||CD. angleABO=118^(@), angleBOD=152^(@), find angleODC:

    Text Solution

    |

  14. Two parallel lines AB and CD are intersected by a transversal EF at M ...

    Text Solution

    |

  15. If the arms of one angle are respectively parallel to the arms of anot...

    Text Solution

    |

  16. AB and CD are two parallel lines, PQ cuts AB and CD at E and F respect...

    Text Solution

    |

  17. A plane figure is bounded by straight lines only. If n is the number o...

    Text Solution

    |

  18. How many planes can pass through any three arbitary points ?

    Text Solution

    |

  19. Out of the four arbitrary non - collinear points three points are take...

    Text Solution

    |

  20. Maximum number of points of intersection of four lines on a plane is ...

    Text Solution

    |