remember that a mode is a number repeated in the data set ( or the number list.
Mode: 6
 
        
             
        
        
        
What do you need help on exactly?
        
                    
             
        
        
        
Answer:
Option (1)
Step-by-step explanation:
By the inscribed angle theorem inside a circle,
"Measure of an inscribed angle is half the measure of the intercepted arc" 
 [m(arc AB)] = m(∠ABC)
[m(arc AB)] = m(∠ABC)
m(arc AB) = 2[m(∠ABC)]
x = 2(41°)
x = 82°
Option (1) is the correct option.