Question

The diagonals of a rectangle ABCD intersect at O. If BOC=52 degree, find ODA

Answer 1

In triangle BOC,
ang BOC +ang OCB+ang OBC= 180°
52°+2 ang OBC= 180°         [as triangle OBC is an isocelestriangle, the base                                                        angles are equal]
2 ang OBC=180°-52°
                    =128°
ang OBC=128/2 °
ang OBC=64°
ang OBC=ang ODA
ang ODA=64°

    

Answer 2

angle ODA is 64 degree