ConceptCyclic Quadrilaterals

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#### Question

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are `90^@-1/2A, 90^@-1/2B" and "90^@-1/2C`

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#### Reference Material

Solution for concept: Cyclic Quadrilaterals. For the course CBSE