Question

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

Answer 1

Answer:

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Answer 2

∠CMQ=60°, ∠QMD=120°, ∠CML=120°, ∠LMD=60°, ∠MLA=60°, ∠MLB=120°, ∠ALP=120°, and ∠PLB=60°

Given:

∠CMQ=60°

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°

⇒ ∠LMD = 60°  [ ∵ vertically opposite angles are equal]

⇒ ∠QMD = 180° − 60°  [ ∵sum of angles in a straight line is 180°]  

∴ ∠QMD = 120°

∠CML=120°  [ ∵ vertically opposite angles are equal]

⇒ ∠MLB=120° [ ∵ Alternate interior angles are equal]

⇒ ∠LMD=MLA=60° [ ∵ Alternate interior angles are equal]

∴ ∠MLA=PLB=60° [ ∵ vertically opposite angles are equal]

⇒ ∠MLB=∠ALP=120° [ ∵ vertically opposite angles are equal]

∠CMQ=60°, ∠QMD=120°, ∠CML=120°, ∠LMD=60°, ∠MLA=60°, ∠MLB=120°, ∠ALP=120°, and ∠PLB=60°