Home
Class 9
MATHS
, if l , m , n and /1=60^@, find /2....

, if `l , m , n` and `/_1=60^@,` find `/_2.`

Text Solution

Verified by Experts

Solution:
As per the diagram.
'/_1=∠3' [ Corresponding angles ] -----'(1)'
`'/_2=/_4'` [ Vertically opposite angles ] -----'(2)'
Given,
`'/_1=100@=/_3' `[ from '{1}' ]
`'/_3+/_4=180@'` [ angles in a straight line ]
`'100+/_4=180@'`
∴`'/_4=80@'`
From '(2)'
`'/_4=/_2=80'`
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

In Fig.70. if\ l m n\ a n d\ /_1=60^0, find /_2.

In Fig.72, If l m ,\ n p\ a n d\ /_1=85^0, find /_2.

In Fig 66, l in e\ l m ,\ /_1=120^0\ and /_2=100^0, find out /_3\ a n d\ /_4.

ABCD is a square of length a, a in N, a > 1. Let L_1, L_2 , L_3... be points on BC such that BL_1 = L_1 L_2 = L_2 L_3 = .... 1 and M_1,M_2 , M_3,....be points on CD such that CM_1 = M_1M_2= M_2 M_3=... = 1. Then sum_(n = 1)^(a-1) ((AL_n)^2 + (L_n M_n)^2) is equal to :

If the direction cosines of two lines are (l_(1), m_(1), n_(1)) and (l_(2), m_(2), n_(2)) and the angle between them is theta then l_(1)^(2)+m_(1)^(2)+n_(1)^(2)=1=l_(2)^(2)+m_(2)^(2)+n_(2)^(2) and costheta = l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2) If the angle between the lines is 60^(@) then the value of l_(1)(l_(1)+l_(2))+m_(1)(m_(1)+m_(2))+n_(1)(n_(1)+n_(2)) is

Two lines with direction cosines l_1,m_1,n_1 and l_2,m_2,n_2 are at righat angles iff (A) l_1l_2+m_1m_2+n_1n_2=0 (B) l_1=l_2,m_1=m_2,n_1=n_2 (C) l_1/l_2=m_1/m_2=n_1/n_2 (D) l_1l_2=m_1m_2=n_1n_2

Statement 1: The direction cosines of one of the angular bisectors of two intersecting line having direction cosines as l_1,m_1, n_1a n dl_2, m_2, n_2 are proportional to l_1+l_2,m_1+m_2, n_1+n_2dot Statement 2: The angle between the two intersection lines having direction cosines as l_1,m_1, n_1a n dl_2, m_2, n_2 is given by costheta=l_1l_2+m_1m_2+n_1n_2dot

If (n+2)!=60[(n-1)!], find n

If the direction cosines of two lines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) , then find the direction cosine of a line perpendicular to these lines.

If the direction cosines of two lines are (l_(1), m_(1), n_(1)) and (l_(2), m_(2), n_(2)) and the angle between them is theta then l_(1)^(2)+m_(1)^(2)+n_(1)^(2)=1=l_(2)^(2)+m_(2)^(2)+n_(2)^(2) and costheta = l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2) If l_(1)=1/sqrt(3), m_(1)=1/sqrt(3) then the value of n_(1) is equal to

RD SHARMA-LINES AND ANGLES -All Questions
  1. If each of the two lines is perpendicular to the same line, what ki...

    Text Solution

    |

  2. /1=60^@ and /2=(2/3)^(r d) of a right angle. Prove that l |\| m

    Text Solution

    |

  3. , if l , m , n and /1=60^@, find /2.

    Text Solution

    |

  4. Prove that two lines perpendicular to the same line are parallel to...

    Text Solution

    |

  5. The opposite sides of a quadrilateral are parallel. If one angle of ...

    Text Solution

    |

  6. 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

    |

  7. In Fig., p is a transversal to lines m and n and , /2=120^@ and /5=6...

    Text Solution

    |

  8. In Figure, transversal l intersects two lines m\ a n d\ n , /4=100^0\ ...

    Text Solution

    |

  9. Which pair of lines in Fig. are parallel? Given reasons.

    Text Solution

    |

  10. If l , m,n are three lines such that l |\| m and n|l , prove that n|...

    Text Solution

    |

  11. If Figure, arms BA and BC OF /A B C are respectively parallel to ar...

    Text Solution

    |

  12. In Figure, arms BA and BC of /A B C are respectively parallel to arm...

    Text Solution

    |

  13. Which of the following statements are true (T) and which are false (...

    Text Solution

    |

  14. Fill in the blanks in each of the following to make the statement tr...

    Text Solution

    |

  15. Define complementary angles.

    Text Solution

    |

  16. Define supplementary angles.

    Text Solution

    |

  17. Define Adjacent angles

    Text Solution

    |

  18. The complement of an acute angle is ..............

    Text Solution

    |

  19. The supplement of an acute angle is .............

    Text Solution

    |

  20. The supplement of a right angle is ..............

    Text Solution

    |