Bisectors of angle A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of triangle DEF are 90°-A2, 90°-B2 and 90°-C2.

Bisectors of angle A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of triangle DEF are $90 ° - \frac{A}{2}, 90 ° - \frac{B}{2} a n d 90 ° - \frac{C}{2}$ .

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