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To prove : ‘l’ ∥ ‘m’
Proof: ‘l’ ∥ ‘n’
⇒ ∠1= ∠3 (Pair of corresponding angles ) ………….(1)
Again, m’ ∥ ‘n’
And ∠2 = ∠3 (Pair of corresponding angles ) …………..(2)
From equation (1) and (2),we get
∠1 = ∠2
But they are forming a pair of corresponding angles.
‘l’ ∥ ‘m’ (By corresponding angles axiom) (Proved)
Example-1
Find ∠DGH.
Solution
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