Home
Class 9
MATHS
Consider the following statements: Whe...

Consider the following statements: When two straight lines intersect:
(i)adjacent angles are complementary
(ii)adjacent angles are supplementary
(iii)opposite angles are equal
(iv)opposite angles are supplementary
Of those statements
(a) (i) and (iii) are correct 
(b)  (ii) and (iii) are correct
(c) (i) and (iv) are correct 
(d)  (ii) and (iv) are correct

Text Solution

Verified by Experts

Now, let us consider each statement one by one: (i) When two lines intersect adjacent angles are complementary. This statement is incorrect. Explanation: The adjacent angles form a linear pair and are supplementary. (ii) When two lines intersect adjacent angles are supplementary. This statement is correct. Explanation: The adjacent angles form a linear pair and are supplementary. (iii) When two lines intersect opposite angles are equal. This statement is correct. ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|104 Videos
  • MEASURES OF CENTRAL TENDENCY

    RD SHARMA|Exercise All Questions|141 Videos

Similar Questions

Explore conceptually related problems

Two angles are in the ratio 4:5 Find the angles if they are (i) complementary (ii) supplementary to each other.

Can two angles be supplementary, if both of them be (i) Obtuse? (ii) Right? (iii) Acute?

Can two angles be supplementary if both of them are:(i) acute? (ii) obtuse? (iii) right?

Define the following terms : (i) Angle (ii) Interior of an angle (iii) Obtuse angle (iv) Reflex angle (v) Complementary angles (vi) Supplementary angles

Find : ( i ) (ii) (ii) (iii) (iii) (iv)

Theorem in a parallelogram prove that (i)the opposite sides are equal; (ii) the opposite angles are equal ; (iii) diagonals bisect each other.

In the adjoining figure,name the following pairs of angles.(i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles ( iv) Adjacent angles that do not form a linear pair

RD SHARMA-LINES AND ANGLES -All Questions
  1. Two straight lines A B\ a n d\ C D intersect one another at the poin...

    Text Solution

    |

  2. Two straight lines A B\ a n d\ C D cut each other at Odot If /B O D=63...

    Text Solution

    |

  3. Consider the following statements: When two straight lines interse...

    Text Solution

    |

  4. Given /P O R=3x and /Q O R=2x+10^0dot If P O Q is straight line, then ...

    Text Solution

    |

  5. In Figure, A O B is a straight line. If /A O C+/B O D=85^0, then /C O ...

    Text Solution

    |

  6. In Figure, the value of y is 20^0 (b) 30^0 (c) 45^0 (d) 60^0

    Text Solution

    |

  7. In Figure, if y/x=5 and z/x=4, then the value of x is (a) 8^0 (b) 18^...

    Text Solution

    |

  8. In Figure, the value of x is (a) 12 (b) 15 (c) 20 (d) 30

    Text Solution

    |

  9. In Figure, which of the following statements must be true? (i) a+b=d...

    Text Solution

    |

  10. If two interior angles on the same side of a transversal intersectin...

    Text Solution

    |

  11. In Figure, if A B||C D , then the value of x is ...

    Text Solution

    |

  12. A B and C D are two parallel lines. P Q cuts A B\ a n d\ C D at E\ ...

    Text Solution

    |

  13. Two lines A B\ a n d\ C D intersect at Odot If /A O C+/C O B+/B O D=27...

    Text Solution

    |

  14. In Figure, P Q||R S ,\ /A E F=95^0,\ /B H S=110^0\ a n d\ /A B C=x^0do...

    Text Solution

    |

  15. In Figure, if l1||l2, what is the value of x ? (a)90^0 (b) 85^0 (...

    Text Solution

    |

  16. In Figure, if l1||l2 , what is x+y in terms of w\ a n d\ z? (a) 18...

    Text Solution

    |

  17. In Figure, if l1||l2 , what is the value of y ? (a) 100...

    Text Solution

    |

  18. In Figure, if l1||l2a n d\ l2||l4, what is y in terms of x? (...

    Text Solution

    |

  19. In Figure, if l||m , what is the value of x? (a) 60 (b) 50 (c) 45...

    Text Solution

    |

  20. In Figure, if line segment A B is parallel to the line segment C D...

    Text Solution

    |