Question

use the property of equal corresponding angles to draw a line parallel to a given line from a point outside it​

Answer 1

Drawing a line parallel to a given line from a point outside it using corresponding angles:

• Draw a straight line $'l'$.
• Mark a point 'A' on it.
• Mark another point 'P' above this line.
• Join AP.
• With any suitable radius, draw an arc passing through AP and $'l'$.
• With same radius, draw another arc from P on same side of the previous arc.
• Now measure ∠A and copy this angle to the arc drawn from P.

• Name the point of intersection of these arcs as Q.
• Join PQ.

• PQ║$l$ and  ∠A = ∠P.

Answer 2

Given : a line

To Find :  draw a line parallel to a given line from a point outside it using the property of equal corresponding angles​

Solution:

Step 1 :  Draw a line  segment AB

Step 2 :  take a  point X on AB

Step 3 : Draw an acute angle at X  ∠YXB

Step 4 :  Take a point  Z on on XY

Step 5    Using suitable compass width and taking X as center draw an arc intersecting XY at M and XB at  N

Step 6 : Keeping compass width same and taking Z as center draw an arc such that it intersect ZY at  P  

Step 7 : take compass width = MN  and  taking P as as center intersect the arc drawn in previous step at  Q

Step 8 : Draw a line segment CD passing through Z & Q

CD || AB

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