Consider Rectangle ABCD,

According to the problem, it is given that OCD = 300.

We know that in a rectangle The sides are perpendicular to each other. So, we can write

OCD + OCB = 1800.

300 + OCB = 900

OCB = 900 - 300

OCB = 600.

We know that the alternate angles along the traversal line between two parallel lines are equal.

So,

OCD = OAB = 300.

We know that the diagonals in a rectangle bisect each other.

So, we can say that,

AO = OB = OC = DO.

We also the angles opposite to the equal sides are also equal.

So, From the figure, we can say that

OBC = OCB = 600.

From ΔOBC, we can say that,

O + B + C = 1800. (Sum of angles in a triangle is 1800)

By substituting the values we get,

O + 600 + 600 = 1800.

O + 1200 = 1800

O = 1800 - 1200

O = 600.

The value of BOC is 600 and the ΔBOC is Equilateral Triangle.

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