Construct a quadrilateral ABCD in which AB =BC= 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.
Step 1: Draw the side AB = 3 cm

Step 2: Draw
= 90°

Step 3: Draw
= 105°

Step 4: With A as centre and radius equal to 5 cm draw an arc and name the point as D

Step 5: With B as centre and radius equal to 3cm draw another arc and name the point as C

Step 6: Join the points C and D

ABCD is the required quadrilateral