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KöMaL 2008 A461

    The exsphere of the tetrahedron ABCD , corresponding to face ABC , touches the face ABC at PP. The exsphere, corresponding to face ABD , touches ABD at QQ. Show that ACB∢+AQB∢=ADB∢+APB∢ACB\sphericalangle + AQB\sphericalangle = ADB\sphericalangle + APB\sphericalangle.

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