72. 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 \angle ABC + \angle ADC equal to ? Statement-I : AB is parallel to DC Statement-II : AD is not parallel to BC

  1. A. The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
  2. B. The Question can be answered by using either Statement alone
  3. C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
  4. D. The Question cannot be answered even by using both the Statements together

Correct Answer: C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

Explanation

Statement I alone leaves it as either an isosceles trapezium or a parallelogram. Statement II rules out the parallelogram. Together, ABCD is strictly an isosceles trapezium, meaning opposite angles sum to 180^\circ.

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