Question

draw a line segment a b of length 8 cm mark point and on a b such that their to draw perpendicular to ab at l measure the angle from by the perpendicular with the line segment​

Answer 1

Answer:Step I: Take a convenient radius with A as centre and draw an arc intersecting the line at points W and X.

Step II: With W and X as centres and radius greater than AW, construct two arcs intersecting each other at M.

Step III: Join AM and extend it in both directions to P and Q.

Step IV: Take a convenient radius with B as centre and draw an arc intersecting the line at points Y and Z.

Step V: With Y and Z as centres and a radius greater than YB, construct two arcs intersecting each other at N.

Step VI: Join BN and extend it in both directions to S and R.

Let the lines perpendicular at A and B be PQ and RS, respectively.

Since, ∠QAB=90  

 and ∠ABR=90  Therefore, ∠QAB=∠ABR

When two parallel lines are intersected by a third line, the two alternate interior angles are equal.

Since, ∠QAB=∠ABR

Therefore, PQ and RS are parallel.

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