A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question: ABCD is a quadrilateral in which AD = BC. What is ∠ABC + ∠ADC equal to?
Statement-I: AB is parallel to DC
Statement-II: AD is not parallel to BC
A.The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
B.The Question can be answered by using either Statement alone
C.The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone✓ Correct
D.The Question cannot be answered even by using both the Statements together
Explanation
If only Statement I holds (AB || DC), ABCD is a trapezium with AD = BC, making it an isosceles trapezium, where ∠ABC + ∠ADC = 180°. But without confirming AD is not parallel to BC, it could be a parallelogram where ∠ABC + ∠ADC could vary. Statement II alone doesn't establish the relationship. Together, AB || DC and AD not parallel to BC with AD = BC confirm isosceles trapezium, giving ∠ABC + ∠ADC = 180°.
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