ABCD is a cyclic quadrilateral. AB and DC when produced, meet in E. Which of the following statements is/are <strong>CORRECT</strong>?<br><br>1. \triangle EBC is similar to \triangle EAD.<br>2. \angle CBE+\angle DAE=180^\circ.<br><br>Select the correct answer using the code given below:

Explanation

In a cyclic quadrilateral extended to a point E, exterior angle \angle EBC = \angle EDA and exterior \angle ECB = \angle EAD. This makes \triangle EBC \sim \triangle EDA, not \triangle EAD (vertex order fails). The angle sum \angle CBE + \angle DAE evaluates to \angle EDA + \angle EAD = 180^\circ - \angle E, which does not equal 180^\circ.

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