1.

Which of the following is a valid quadrilateral?(a) ▀ABCD ∠A=60,∠B=120,∠C=120,∠D=90(b) ▀PQRS ∠A=90,∠B=90,∠C=90,∠D=90(c) ▀LMNO ∠A=90,∠B=150,∠C=90,∠D=60(d) ▀EFGH ∠A=120,∠B=120,∠C=120,∠D=120The question was posed to me in my homework.The origin of the question is Geometry topic in chapter Practical Geometry of Mathematics – Class 8

Answer»

Right choice is (b) ▀PQRS ∠A=90,∠B=90,∠C=90,∠D=90

For explanation I would say: The BASIC property of any QUADRILATERAL is that the sum of all the internal angles is 360°. Here except ▀PQRS the sum of all the internal angles of other quadrilaterals is GREATER than 360°. HENCE all the other quadrilateral other then ▀PQRS are incorrect.



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