Home
Class 14
MATHS
PQRS is a cyclic quadrilateral. If angle...

PQRS is a cyclic quadrilateral. If `angle P` is four times the `angle R` and `angle S` is three times the `angle Q` , then the average of `angle Q` and `angle R` is:
PQRS एक चक्रीय चतुर्भुज है | यदि कोण P कोण R से चार गुना है तथा कोण S कोण Q से तीन गुना है, तो कोण Q और R का औसत ज्ञात करें |

A

`40.5^@`

B

`45.7^@`

C

`90^@`

D

`81^@`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

PQRS is a cyclic quadrilateral. If angle P is four times the angle R and angle S is three times the angle Q , then the sum of angle Q and angle R is: PQRS एक चक्रीय चतुर्भुज है | यदि कोण P कोण R से चार गुना है तथा कोण S कोण Q से तीन गुना है, तो कोण Q और R का योग ज्ञात करें |

PQRS is a cyclic quadrilateral. If angle P is three times the angle R and angle S is five times the angle Q , then the sum of angles Q and R is: PQRS एक चक्रीय चतुर्भुज है | यदि कोण P कोण R का तिगुना है तथा कोण S कोण Q से पांच गुना है, तो कोण Q और R का योग ज्ञात करें |

PQRS is a cyclic quadrilateral. If angle P is four times angle R and angleS is three times angle Q , then the sum of angle Q and angle R is: PQRS एक चक्रीय चतुर्भुज है| अगर angle P, angle R का चौंगुना है तथा angle S, angle Q का तिगुना है, तो angle Q तथा angle R का योग होगा:

In a parallelogram PORS, angle P is four times of angle Q, then the measure of angle R is

In a quadrilateral PQRS, angle Q is twice the angle P. Angle R is thrice the angle P. The value of angle R is 150^@ What is the difference between angle Q and angle S?

The vertices A, B, C and D of a quadrilateral ABCD lie on a circle. angle A is thrice angle C and angle D is twice angle B . What is the difference between the measures of angle B and angle C ? किसी चतुर्भुज ABCD के शीर्ष बिंदु A, B, C और D एक वृत्त पर स्थित हैं | कोण A कोण C से तिगुना है तथा कोण D कोण B से दोगुना है | कोण B और कोण C के मान में क्या अंतर है ?

In Delta PQR, angle P: angle Q : angle R = 1:3:5 . What is the value of (in degress) of angle R - angle P ?

ABCD is a cyclic quadrilateral such that its sides AD and BC produced meet at P and sides AB and DC produced meet at Q. If angle A=62^@ and angle ABC= 74^@ , then the difference between angle P and angle Q is: ABCD एक चक्रीय चतुर्भुज है जो इस प्रकार है कि इसकी भुजाओं AD और BC को बढ़ाने पर वे P पर मिलती हैं तथा AB और DC को बढ़ाने पर वे Q पर मिलती हैं | यदि angle =62^@ और angle ABC= 74^@ है, तो angle P और angle Q के बीच अंतर ज्ञात करें |

PINNACLE-GEOMETRY-EXERCISE
  1. In a triangle ABC, the bisectors of angle B and angle C meets at point...

    Text Solution

    |

  2. ABCD is a cyclic quadrilateral such that AB is a diameter of the circl...

    Text Solution

    |

  3. PA and PB are two tangents from a point P outside the circle with cent...

    Text Solution

    |

  4. In triangle ABC ,angle A=66^@. AB and AC are produced to points D and...

    Text Solution

    |

  5. Let triangle ABC ~ triangle RPQ and (ar(triangle ABC))/(ar(triangle PQ...

    Text Solution

    |

  6. ABCD is a cyclic quadrilateral such that AB is a diameter of the circl...

    Text Solution

    |

  7. Let triangle ABC ~ triangle RPQ and (ar(triangle ABC))/(ar(triangle PQ...

    Text Solution

    |

  8. In angle ABC, AB and AC are produced to points D and E respectively. I...

    Text Solution

    |

  9. PA and PB are two tangents from a point P outside the circle with cent...

    Text Solution

    |

  10. PQRS is a cyclic quadrilateral. If angle P is four times the angle R a...

    Text Solution

    |

  11. Chord AB of a circle is produced to a point P, and C is a point on the...

    Text Solution

    |

  12. In triangle ABC ,D is a median from A to BC, AB = 6cm , AC =8cm and BC...

    Text Solution

    |

  13. PA and PB are two tangents from a point P outside a circle with centre...

    Text Solution

    |

  14. A circle is inscribed in a triangle ABC. It touches side AB, BC and AC...

    Text Solution

    |

  15. In a triangle ABC, the bisector of angle B and angle C meet at O in th...

    Text Solution

    |

  16. In triangle ABC, BD bot AC, at D,E is a point on BC such that angle BE...

    Text Solution

    |

  17. The sides PQ and PR od triangle PQR are produced to point S and T, res...

    Text Solution

    |

  18. Two circles of radii 15cm and 10cm intersect each other and the length...

    Text Solution

    |

  19. In triangle ABC ,angle A=54^@. If I is the incentre of the triangle, t...

    Text Solution

    |

  20. In a circle with centre O, AD is a diameter and AC is a chord. Point B...

    Text Solution

    |