In figure, a transversal PQ intersects two parallel line AB and CD at L and M respectively. If <1 95 = c, then <2 = ?

We know that when a line is intersected by a transversal then

Corresponding angles are equal

Alternate interior angles are equal

Vertically opposite angles are equal

and also Sum of all the angles in a straight line is 180  

o

Given,  

∠CMQ=60  

o

=>∠LMD=60  

o

                [ ∵ vertically opposite angles are equal]

=>∠QMD=180−60  

o

    [ ∵sum of angles in a straight line is 180  

o

]  

∴ ∠QMD=120  

o

=>∠CML=120  

o

                  [ ∵ vertically opposite angles are equal]

=>∠MLB=120  

o

                  [ ∵ Alternate interior angles are equal]

=>∠LMD=MLA=60  

o

      [ ∵ Alternate interior angles are equal]

∴ ∠MLA=PLB=60  

o

        [ ∵ vertically opposite angles are equal]

=>∠MLB=∠ALP=120  

o

                     [ ∵ vertically opposite angles are equal]

∴ ∠CMQ=60  

o

, ∠QMD=120  

o

, ∠CML=120  

o

, ∠LMD=60  

o

,  

  ∠MLA=60  

o

 , ∠MLB=120  

o

, ∠ALP=120  

o

 and ∠PLB=60  

o

 .      

Step-by-step explanation:

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the answer is 8.64

step-by-step explanation: