Q17 of 153 Page 129

If two straight lines are perpendicular to the same line, prove that they are parallel to each other.


AB⊥PQ,


Therefore, ∠ABD = 90° _____________ (i)


CD⊥PQ,


Therefore, ∠CDQ = 90° _____________ (ii)


From equations (i0 and (ii)


∠ABD = ∠CDQ = 90°


Hence, AB||CD because Cross ponding angles are equal.


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