In the given figure, ABCD is a cyclic quadrilateral inscribed in a circle with centre O. CD is produced to E such that ADE = 75°.

1 thought on “In the given figure, ABCD is a cyclic quadrilateral inscribed in a circle with centre O. CD is produced to E such that ADE = 75°.”

1. Answer:

   ABCD is a cyclic quadrilateral with center O.

   Therefore OA=OA=OC are the radii of circle

   In △AOB, OA=OB, therefore

   ∠ABO=∠BAO=∠BAC=45∘ [Angles opposite to equal sides]

   ∠OCA− cannot be determined. Because

   AOC is a line, ∠AOC=180∘

   

   Step-by-step explanation:

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