Question

1. Construct a trapezium PQRS in which PQ || SR, PQ = 8 cm, QR = 6 cm, RS = 4 cm and ZQ = 60°.>Hint: Find R using PQ || SR.]​

Answer 1

Answer:

angle R = 120°

Step-by-step explanation:

First we will find the angle of R to construction of trapezium by using parallel properties.

see in the above picture

Step of construction:

1. Draw a line segment PQ = 8 cm.
2. With a centre Q draw an angle ZQP = 60°.
3. Open a compass at 6 cm and draw an arc on line ZQ name at R.
4. With a centre R draw an angle XRQ = 120°.
5. Open a compass at 4 cm and draw an arc on line XR name at S.
6. Then Join points P to S.