in the given figure l parallel to m if angle 1=55°, find angle 2
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Answer:
L1 & L2 are in ratio 1:2
letL1=k
L2=2k
L1+L2=180
∘
(∵sumofanglesonastraightline=180
∘
)
⟹k+2k=180
∘
⟹3k=180
∘
⟹k=60
∘
⟹L1=60
∘
,L2=120
∘
L2+L3=180
∘
(sumofanglesonastraightline=180
∘
)
⟹L3+120
∘
=180
∘
⟹L=60
∘
L3=L7(∵l&mareparallel,∴correspondingangles)
L7=60
∘
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