Home
Class 10
MATHS
In the given figure, ABCDE is a pentagon...

In the given figure, ABCDE is a pentagone inscribed in a circle such that AC is a diameter and side BC//AE. If `angleBAC =50^(@)`, find giving reasons :
(i) `angleACB`
(ii) `angleEDC`
(iii) `angleBEC `
Hence prove that BE is also a diameter.

Text Solution

Verified by Experts

The correct Answer is:
(i) `angleACB =40^(@)` (ii) `angleEDC =140^(@)` (iii) BE is a diameter
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    ICSE|Exercise SECTION B |20 Videos
  • QUADRATIC EQUATIONS

    ICSE|Exercise Competency Based Questions|10 Videos
  • QUESTION PAPER 2022 TERM 1

    ICSE|Exercise QUESTIONS |33 Videos

Similar Questions

Explore conceptually related problems

In the given figure, ABCDE is a pentagone inscribed in a circle such that AC is a diameter and side BC//AE. If angleBAC=50^(@) , find angleBCE ,

In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BC||AE. If BAC = 50^(@ ,Find angle CDE

In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BC||AE. If BAC = 50^(@ ,Find angle BCA

ABCD is a rhombus. If angleBAC=38^(@), find: (i) angleACB (ii) angleDAC (iii) angleADC .

In the given figure, a square is inscribed in a circle with centre O. Find : angleBOC . Is BD a diameter of the circle

In the given figure, a square is inscribed in a circle with centre O. Find : angleBOD .Is BD a diameter of the circle

In the given figure, a square is inscribed in a circle with centre O. Find : angleOCB . Is BD a diameter of the circle

In the given figure, a square is inscribed in a circle with centre O. Find : angleCOD . Is BD a diameter of the circle

In the figure given below, O is the centre of the circle and Ab is a diameter. If AC = BC and angleAOC=72^(@) . Find: (i) angleABC (ii) angleBAD (iii) angleABD

In the given figure , BD is a side of a regular hexagon. DC is a side of a regular pentagon and AD is a diameter , Calculate: (i) angle ADC , (ii) angle BDA (iii) angle ABC (iv) angle AEC

ICSE-QUESTION PAPER 2019-SECTION B
  1. There are 25 disc numbered 1 to 25. They are put in a closed box and s...

    Text Solution

    |

  2. Rekha opened a recurring deposite account for 20 months. The rate of i...

    Text Solution

    |

  3. Use a graph sheet for this question. Take 1 cm = 1 unit along both x a...

    Text Solution

    |

  4. In the given figure, angle PQR = anglePST = 90^(@), PQ = 5 cm and PS =...

    Text Solution

    |

  5. The first and last term of a geometrical Pregression (G.P.) are 3 and ...

    Text Solution

    |

  6. A hemispherical and a conical hole are scooped out of a solid wooden ...

    Text Solution

    |

  7. In the given figure AC is a tangent to the circle with centre O. If a...

    Text Solution

    |

  8. The model of a building is constructed with the scale factor 1:30. (...

    Text Solution

    |

  9. The model of a building is constructed with the scale factor 1 : 30. ...

    Text Solution

    |

  10. Given [(4,2),(-1,1)]M = 6 I, where M is a matrix and I is the unit mat...

    Text Solution

    |

  11. The sum of the first three terms of an Arithmeic Progression (A.P.) is...

    Text Solution

    |

  12. The vertices of a DeltaABC are A(3, 8), B(-1, 2) and C(6, 6). Find : ...

    Text Solution

    |

  13. Using ruler and a compass only, construct a semi-circle with diameter ...

    Text Solution

    |

  14. The data on the number of patients attending a hospital in a month are...

    Text Solution

    |

  15. Using properties of proportion solve for x, given (sqrt(5x)+sqrt(2x-...

    Text Solution

    |

  16. Sachin invests Rs. 8,500 in 10%, Rs. 100 shares at Rs. 170. He sells ...

    Text Solution

    |

  17. A man observes the angle of elevation of the top of the tower to be 45...

    Text Solution

    |

  18. Using the Remainder Theorem find the remainders obtained when x^(3...

    Text Solution

    |

  19. The product of two consecutive natural numbers which are multliples of...

    Text Solution

    |

  20. In the given figure, ABCDE is a pentagone inscribed in a circle such ...

    Text Solution

    |