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Question

We cannot construct a quadrilateral PQRS with PQ =6cm, QR = 5 cm, ∠P = 70o, ∠Q = 150o and the measurement of ∠R as


  1. 70o

  2. 100o

  3. 80o

  4. 140o


Solution

The correct option is D

140o


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.

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