Question

Construct an angle PQR = ${80}^{\circ }$. Draw a line parallel to PQ at a distance of 3 cm from it and another line parallel to QR at a distance of 3.5 cm from it. Mark the point of intersection of these parallel lines as A.

Answer 1

Steps of construction :

1. Draw $\angle$PQR = ${80}^{\circ }$

2. With P as centre draw an arc of radius 2 cm.

3. Again with Q as centre, draw another arc of radius 2 cm. Then BM is a line which touches the two arcs. Then BM is a line parallel to PQ.

4. With Q as centre, draw an arc of radius 3.5 cm. With R as centre draw another arc of radius 3.5 cm. Draw a line HC which touches these two arcs. Let these two parallel line intersect at A.