Answer:
Angle 1 =  108°
Angle 2 =  72°
Angle 3 =  120°
Angle 4 =  96°
Angle 5 =  144°
Step-by-step explanation:
We need to find the measures of the interior  angles in a pentagon if the measure  of each consecutive angle is in the  ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write: 
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x

So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
 
        
             
        
        
        
Answer:
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
 I did this lesson i asked my teacher to help me but i did this problem on my own so i hope its right :)
Step-by-step explanation:
 
        
                    
             
        
        
        
It was about 17.4% 
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% error= 
actual value-estimated value 
Then divide that by actual value