Question

Construct a quadrilateral PQRS given that PQ = 4.8cm , QR = 5.5cm , Angle M = 120° and Angles R = 110°​

Answer 1

Answer:

PQ = 4cm

QR = 6cm

RS = 5cm

PS = 5.5cm

PR = 7cm

Firstly, we will draw a rough sketch.

PR is diagonal

Now steps for construction:

Step 1: Draw a line PR as diagonal (PR = 7cm).

Step 2: Draw an arc 4cm top of the PR and P as center.

Step 3: Taking 6cm and mark arc top the PR named Q.

Step 4: Draw an arc 5.5 cm bottom of the PR and P as center.

Step 5: Taking 5 cm and mark arc below of the PS named S.

Therefore, PQRS is required quadrilateral.