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Bisectors of angles A, B and C of a t...

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 `90o-1/2A` ,`90o-1/2B` and `90o-1/2C`

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`/_5=/_A/2`
Since, angles in same segment at a circle are equal
`/_6=/_B/2`
`/_1=/_B/2`
`/_2=/_C/2`
`/_3=/_A/2`
`/_4=/_C/2`
`In/_DEF`
...
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