1509 (Vertically opposite 1 +50° = 130° +50° = 180° line / || line m (Interior angles test for paralle ine AB line CD line EF and line QP ransversal. If y: z=3: 7 then find the m flr. A B С D E F P Р lution : Line AB line EF d line QP is the transversal, Lx L (Alternate angle Loi Lz=3:7 Ly: 4x=3:7 TE
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Proof: ∠x = 130° ∠y = 50° [Vertically opposite angles] Here, m∠PQT + m∠QTS = 130° + 50° = 180° But, ∠ PQT and ∠ QTS are a pair of interior angles on lines l and m when line n is the transversal,
∴ line l || line m [Interior angles test]
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