<PRE><B>Question 1108289</B>
1.     Angle COD and angle AOB are vertical angles. Vertical angles are congruent, so angle COD = 30 degrees.


2.     Next, angle OCD is one of the base angles of an isosceles triangle formed within the rectangle. We know that it is an isosceles triangle because one of the properties of a rectangle is that diagonals are congruent. The diagonals also bisect each other because a rectangle is parallelogram, and that is a property of a parallelogram. We also know that the vertex angle, which happens to be angle COD, is 30 degrees. 


3.     Since the sum of the interior angles of a triangle = 180 degrees, and the base angles of an isosceles triangle are congruent, we can use this formula with x representing a base angle:


30 + 2x = 180

2x = 150

x = 75 degrees

So, angle OCD = 75 degrees


FINAL ANSWERS:

- Angle COD = 30 degrees
- Angle OCD = 75 degrees

</PRE>