Construct a quadrilateral ABCD given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.

Step 1: Draw the side AB = 8 cm

Step 2: Draw = 45°

Step 3: Taking A as centre, draw an arc of radius 8cm on AX cutting AX at point D

Step 4: With D as centre and radius equal to 10cm draw an arc

Step 5: With B as centre and radius equal to 8cm draw another arc to cut down arc of step 4 at a point D

Step 6: Join DC and BC

ABCD is the required quadrilateral