Question

the diagonals of a rectangle ABCD intersect at O if angle BOC is equal to 60 degree find angle ODA​

Answer 1

Answer:

AOD=BOC =60⁰( vertically opposite angles)

since diagonal of rectangle bisects the angle therefore OAD=45⁰(90⁰/2)

Then using angle sum property, ODA=180⁰-(45⁰+60⁰)

=180⁰-105⁰

=75⁰

Answer 2

Answer:

In triangle BOC,

ang BOC +ang OCB+ang OBC= 180°

60°+2 ang OBC= 180° [as triangle OBC is an isocelestriangle, the base angles are equal]

2 ang OBC=180°-60°

=120°

ang OBC=128/2 °

ang OBC=60°

ang OBC=ang ODA

ang ODA=60°