Question

When three sides and the two included angles of a quadrilateral are given, the fourth side need not be given; it is obtained by joining the free ends of the two rays.

Trapezium ABCD (AB ∥ DC) is to be constructed with BC as the slant side and \angle B = 110^\circ. What must be the measure of \angle C (in degrees)?

Construct quadrilateral PQRS with PQ = 4 cm, QR = 5 cm, RS = 4.5 cm, \angle Q = 80^\circ and \angle R = 110^\circ. Write the steps, then measure PS (in cm, to one decimal place).

Trapezium ABCD has AB ∥ DC, AB = 6 cm, BC = 4 cm, CD = 3.5 cm and \angle B = 110^\circ. Using the property of parallel lines, find the extra angle needed, write the steps of construction, and then measure AD (in cm, to one decimal place).