prove that the two lines that are perpendicular to the two parallel lines are parallel to each other................plz ans this question
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Given Two lines m and n are parallel and another two lines p and q are respectively perpendicular to m and n.
i.e., p ⊥ m, p ⊥ n, q ⊥ m, q ⊥ n
To prove p||g
Proof Since, m || n and p is perpendicular to m and n.
So, sum of two interior angles is supplementary.
We know that, if a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.
Hence, p||g.
i.e., p ⊥ m, p ⊥ n, q ⊥ m, q ⊥ n
To prove p||g
Proof Since, m || n and p is perpendicular to m and n.
So, sum of two interior angles is supplementary.
We know that, if a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.
Hence, p||g.
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