is a diameter of a circle with centre  O  and radius  OD  is perpendicular to  AB . If  C  is any point on arc  DB , then the value of  ∠BAD  and  ∠ACD  is

The problem seems to be about circle geometry. Here are the steps to solve it:

Step 1: Identify the given information. The circle has center O and radius OD. Diameter AB is perpendicular to OD. Point C is on arc DB.

Step 2: Use the properties of a circle. In a circle, the diameter subtends a right angle to any point on the circle. Therefore, ∠BAD = 90 degrees because AB is a diameter.

Step 3: Also, the angle subtended by an arc at the center is twice the angle subtended by it at any point on the alternate segment. Therefore, ∠ACD = 1/2 ∠AOB.

Step 4: Since ∠AOB is a straight line, it is 180 degrees. Therefore, ∠ACD = 1/2 * 180 = 90 degrees.

So, ∠BAD = 90 degrees and ∠ACD = 90 degrees.