Answer :

metchelle
Based on the given figure above, we can say that the measure of angle BDR is also 63°. R is meant to be tangent to the circle so, this makes the angle BDR equal to C. Angle C is half of the arc as well as BDR. Hope this is the answer that you are looking for. 
boffeemadrid

Answer:

m∠BDR=63°  

Step-by-step explanation:

It is given that  line DR tangent to Circle O and m∠BCD=63°, then the measure of the angle BDR can be determined as:

Since, angle BDR is made between the chord and the tangent, and we know that the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, therefore

m∠BCD=m∠BDR=63°

Hence, the measure of angle BDR=63°.

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