We cannot construct a quadrilateral PQRS with PQ =6cm, QR = 5 cm, ∠P = 70o, ∠Q = 150o and the measurement of ∠R as
We know: Sum of all the angles in a quadrilateral is 360o.
If ∠R = 140°, then
∠P + ∠Q + ∠R + ∠S = 360o
70o + 150o + 140° + ∠S = 360o
360o + ∠S = 360o
∠S = 0o
Hence, a quadrilateral cannot be constructed with the given measurements and measure of ∠R as 140o.