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Cyclic quadrilateral with two sides produced to meet: similar triangles and angles

This type of question, asked 2 times: CDS 2 2022, CDS 1 2026. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2022

    99
    ABCD is a cyclic quadrilateral. AB and DC when produced, meet in E. Which of the following statements is/are correct ? 1. △EBC\triangle EBC is similar to △EAD\triangle EAD. 2. ∠CBE+∠DAE=180∘\angle CBE + \angle DAE = 180^\circ. Select the correct answer using the code given below :

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  2. Question 2

    CDS 1 2026

    64
    ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. Which of the following statements is/are correct ? I. △PAD\triangle PAD is similar to △PBC\triangle PBC II. ∠PAD+∠PDA=∠PBC+∠PCB\angle PAD + \angle PDA = \angle PBC + \angle PCB Select the answer using the code given below :

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