Answer:
The correct option is A.
Step-by-step explanation:
Given information: O is the center of the circle, and measure of angle C is 57°.
Alternate segment theorem: According to the alternate segment theorem an angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
Line RD is tangent to the circle at point D.
Using alternate interior theorem,
[tex]\angle BRD=\angle BCD[/tex]
[tex]\angle BRD=57^{\circ}[/tex] [tex][\because C=57^{\circ}][/tex]
Therefore option A is correct.
