Question

if AB and CD are two perpendiculars on PQ at point A and C then show that AB||CD​

Answer 1

Answer:

angle abd+angle cdb=180°

therefore we can say that they are co interior angles , hence ab||cd.

Answer 2

Answer:

AB and CD both are perpendicular to the same line PQ.

Then,

∠ABQ=90 o

   and  also ∠CDQ=90 o

∠ABQ=∠CDQ

Since, they are corresponding angles then AB ∥ CD. [If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.]

Step-by-step explanation:

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