Home
Class 14
MATHS
In triangle ABC , the perpendiculars dra...

In `triangle ABC` , the perpendiculars drawn from A, B and C meet the opposite sides at D, E and F, respectively. AD, BE and CF intersect at point P. If `angle EPD= 116^@` and the bisectors of `angle A` and `angle B` meet at Q, then the measure of `angle AQB` is :
त्रिभुज ABC में,A, B तथा C से खींचे गए लम्ब सामने की भुजाओं पर क्रमशः D, E और F पर मिलते हैं | AD, BE और CF बिंदु P पर प्रतिच्छेद करते हैं | यदि `angle EPD= 116^@` है और कोण A तथा कोण B के समद्विभाजक Q पर मिलते हैं , तो कोण AQB का मान ज्ञात करें |

A

`122^circ`

B

`64^circ`

C

`96^circ`

D

`134^circ`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SSC CGL MAINS 2018 ALGEBRA

    PINNACLE|Exercise Exercise|23 Videos
  • SSC CGL MAINS 2018 NUMBER SYSTEM

    PINNACLE|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

In a quadrilateral ABCD, angle D=60^(@) and angle C = 100^(@) . The bisectors of angle A and angle B meet at the point P. The measure of angle APB is

Triangle ABC is right angles at B. Internet bisectors of acute angles A and C meet at point I. Find the measure of angle AIC

The sides AB and AC of triangle ABC are produced to points D and E, respectively. The bisectors of angle CBD and angle BCE meet at P. If angle A=72^circ , then the measure of angle P is:

In a triangle ABC, the bisector of angle A meets the opposite side at D.Using vectors prove that BD:DC=c:b.

The sides AB and AC of triangle ABC are produced to points D and E, respectiely. The bisectors of angleCBD " and " angleBCE meet at P. If angle A = 82^(@) , then the measure of angle P is :

In a quadrilateral ABCD, the bisectors of angle C and angle D meet at E. If angle CED = 56^@ and angle A = 49^@ , then the measure of angle B is:

In a triangle ABC if angleA=theta and perpendiculars drawn from vertices B and C to respective opposite sides meet in P then find the value of angleBPC in terms of theta .

In ABC, if /_B=60^(@),/_C=80^(@) and the bisectors of angles /_ABC and /_ACB meet at a point O, then find the measure of /_BOC .

PINNACLE-SSC CGL MAINS 2018 GEOMETRY-Exercise
  1. In triangle PQR, I is the incentre of the triangle. If angle QIR = 107...

    Text Solution

    |

  2. In a circle with centre O, AC and BD are two chords. AC and BD meet at...

    Text Solution

    |

  3. DeltaABC and DeltaDBC are on the same base BC but on opposite sides of...

    Text Solution

    |

  4. The perimeters of two similar triangles ABC and PQR are 78 cm and 46.8...

    Text Solution

    |

  5. In triangle ABC , the medians AD, BE and CF meet at O. What is the rat...

    Text Solution

    |

  6. In a quadrilateral ABCD, the bisectors of angle C and angle D meet at ...

    Text Solution

    |

  7. The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference...

    Text Solution

    |

  8. In angle ABC, AB=AC and D is a point on BC. If BD = 5cm, AB =12 cm and...

    Text Solution

    |

  9. In triangle ABC , the perpendiculars drawn from A, B and C meet the op...

    Text Solution

    |

  10. The sides PQ and PR of triangle PQR are produced to points S and T, re...

    Text Solution

    |

  11. In a circle, AB and DC are two chords. When AB and DC are produced, th...

    Text Solution

    |

  12. The bisector of angle A in triangle ???meets BC in D. If AB = 15cm, AC...

    Text Solution

    |

  13. In triangle ABC, BE bot AC, CD bot AB and BE and CD intersect each oth...

    Text Solution

    |

  14. In triangle ABD, C is the midpoint of BD. If AB = 10 cm, AD = 12 cm an...

    Text Solution

    |

  15. S is the incentre of triangle PQR. If angle PSR = 125^circ, then the m...

    Text Solution

    |

  16. In a circle with centre O, ABCD 1s a cyclic quadrilateral and AC is th...

    Text Solution

    |

  17. In quadrilateral ABCD, angle C = 72^circ and angle D = 28^circ. The bi...

    Text Solution

    |

  18. The sides of a triangle are 12 cm, 35 cm and 37 cm. What is the circum...

    Text Solution

    |

  19. If in triangle ABC, D and E are the points on AB and BC respectively s...

    Text Solution

    |

  20. If in triangle PQR, angle P = 120^@, PS bot QR at S and PQ+QS=SR, then...

    Text Solution

    |