Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.

We know that sum of all angles in a quadrilateral is 360⁰

+ + + = 360^o

70^o + 110 ^o + + 85^o = 360^o

= 360^o – 265^o = 95^o

= 95^o

Step 1: Draw the side BC = 5.5 cm

Step 2: Draw = 110°

Step 3: Draw = 95°

Step 4: With C as centre and radius equal to 4.1 cm draw an arc and name the point as D

Step 5: With D as centre ,construct an angle 85° and mark the point of intersection of line BX and the angle 85° as point A

Step 6: Join the points C and D

ABCD is the required quadrilateral