Construct a quadrilateral ABCD∠A = 65°, ∠B = 105°, ∠C = 75°, BC = 5.7 cm and CD = 6.8 cm.

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

+ + + = 360^o

65^o + 105 ^o + 75^o + = 360^o

= 360^o – 245^o = 115^o

= 115^o

Step 1: Draw the side BC = 5.7 cm

Step 2: Draw = 105°

Step 3: Draw = 75°

Step 4: With C as centre and radius equal to 6.8 cm draw an arc and name the point as D

Step 5: With D as centre ,construct an angle 115° and mark the point of intersection of line BX and the angle 115° as point A

Step 6: Join the points C and D

ABCD is the required quadrilateral