Question

In given Fig, AB and CD are parallel lines intersected by a transversal PQ at L and M respectively, If ∠CMQ = 60o
, find ∠ LMD, ∠LMC and ∠ DMQ in the figure.

Answer 1

Step-by-step explanation:

<CMQ=<LMD (vertically opposite angle)

60°=<LMD

<LMD+<LMC=180°(linear pair)

60°+<LMC=180°

<LMC=180°-60°

<LMC=120°

<DMQ=<LMC (vertically opposite angle)

<DMQ=120°