Math, asked by ad806872, 6 months ago

the
A B and CD are two parallel lures.
Transversal Ef Intersect AB and CD
at
Points be and H respectively.
z Angle A GH is 60° The value of
Angle
will be.
DHG​

Answers

Answered by PokemonMasterAsh
0

Step-by-step explanation:

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

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