Home
Class 8
MATHS
The supplement of an angle and the compl...

The supplement of an angle and the complement of another have a sum equal to half of a complete angle. If the greater angle is `10^(@)` more than the smaller , find the smaller angle.

A

`40^(@)`

B

`35^(@)`

C

`45^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
a

(i) Consider the angles as x and y `( x gt y)`
(ii) Frame the equation according to the given conditions and solve for x.
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|20 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Essay type Question|3 Videos
  • Formulae

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos

Similar Questions

Explore conceptually related problems

If the supplement of an angle is three xx its complement,find the angle.

If an angle is equal its complement , then the angle is -

The supplement of an angle is 10^(@) more than three times its complement. Find the angle.

Among the two supplementary angles, the measure of the larger angles is 36^(@) more than the measure of the smaller. Find the smaller one?

Find the angle which is 60^(@) more than it complement.

An angle is 10^@ more then one third of its complement. Find the greater angle.

If an angle is 30^(@) more than one half of its complement,find the measure of the angle.

The molecule having smaller bond angle is

PEARSON IIT JEE FOUNDATION-GEOMETRY -Level 1
  1. In the above figure , overline(AB)andoverline(AC) are equal chords an...

    Text Solution

    |

  2. In the above figure, O is the centre of the circle and AB=CD. If / APB...

    Text Solution

    |

  3. In the above diagram (not to scale), AB=AC=. O is the centre of the ci...

    Text Solution

    |

  4. In the figure above (not to scale), AB=CD and /A =100^(@). / C =

    Text Solution

    |

  5. In the above figure, ABCD is a cyclic quadrilateral and /BCD =2 / BAD....

    Text Solution

    |

  6. In the below figure, one part of the line of symmetrcy is given. Recon...

    Text Solution

    |

  7. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  8. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  9. In the given figure (not to scale), O is the centre of the circle. A,B...

    Text Solution

    |

  10. In the following figure ( not to scale), / ADC =60^(@), / BAD =80^(@) ...

    Text Solution

    |

  11. How many lines of symmetry does the above figure have ? <img src="ht...

    Text Solution

    |

  12. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  13. In the figure given below, bar(ED)||bar(AB) and bar(EF)||bar(BC). If /...

    Text Solution

    |

  14. The supplement of an angle and the complement of another have a sum eq...

    Text Solution

    |

  15. ABCD is a trapezium in which AB ||CD, AB =20cm, BC =10 cm, CD =10 cm a...

    Text Solution

    |

  16. P is an interior point of quadrilateral ABCD and AB =3.5cm, BC =4 cm, ...

    Text Solution

    |

  17. The angles of a triangle are in the ratio 2:3:4 . Find them The foll...

    Text Solution

    |

  18. Prove that each of the following diagonals of a parallelogram divides ...

    Text Solution

    |

  19. In a rhombus BEST,if / B=60^(@) and BT =6cm, then find the length of t...

    Text Solution

    |

  20. The following sentences are the steps involved in construction of the ...

    Text Solution

    |