Home
Class 9
MATHS
In figure, if AB |""| CD |""| EF, PQ |""...

In figure, if AB `|""|` CD `|""|` EF, PQ `|""|` RS, `/_` RQD =`25^(@)` and `/_` CQP =`60^(@)`, then `/_`QRS is equal to

A

`85^(@)`

B

`135^(@)`

C

`145^(@)`

D

`110^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
`:. " "/_PQC = /_BRS = 60^(@) " " ["alternate interior angles and" /_PQC = 60^(@)` ("given")]
and `/_QDR = /_QRA = 25^(@) " " ["alternate interior angles"] " "[:'/_DQR = 25^(@)`, given]
`:." "/_QRS = /_QRA +/_ARS`
=`/_QRA + (180^(@)-/_BRS) " "` ["linear pair axiom"]
= `25^(@) + 180^(@) - 60^(@) = 205^(@) - 60^(@) = 145^(@)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINEAR EQUATION IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 4.8|1 Videos

  • NUMBER SYSTEMS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|7 Videos

Similar Questions

Explore conceptually related problems

In the given figure, if OP|"|RS, /_OPQ = 110^(@) and /_QRS = 130^(@) , then /_PQR is equal to

In figure, AB || CD || EF and GH || KL . Find ∠HKL

Knowledge Check

  • In the given figure, AB||CD . Find the value of x

    A
    20
    B
    25
    C
    40
    D
    60

    • Similar Questions

    Explore conceptually related problems

    In figure if AB||CD,CD||EF and y: z=3: 7, find x.

    In Fig. if AB || CD, CD || EF and y : z=3:7 , find x.

    In the given figure, AB||CD||EF . Find x, y and z

    In the given figure, AB||CD||EF and AD||BE . Find x,y and z

    In figure DE || OQ and DF || OR. Show that EF||QR.

    In Figure, AB||QR . Find the length of P B .

    In the given figure, AB is the diameter of the circle, centered at O. If angle COA =60^(@), AB=2r, Ac=d and CD=l, then l is equal to

    Home
    Profile