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:

please mark me as brainliest

fwms@lil_ben06

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have