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Pani-rosa [81]
3 years ago
5

   Cheyenne is playing a board game. Her score was −225 at the start of her turn, and at the end of her turn her score was −405.

What was the change in Cheyenne's score from the start of her turn to the end of her turn?
The change was__ points
Mathematics
2 answers:
Irina-Kira [14]3 years ago
8 0
She gained 180 points
Olin [163]3 years ago
8 0
180 points :) its correct i checked
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Answer:

18

Step-by-step explanation:

The interior and exterior angle of a polygon is supplementary

let interior be I

let exterior be E

I + E = 180

Since the interior angle is 8 times that of an exterior angle,

8E + E = 180          [replacing I with 8E]  

9E = 180                

E = 20                      

The exterior angle is 20 degrees

I + E = 180          

I + 20 = 180      

I = 160              

The interior angle is 160 degrees.

The equation to find the interior angle of a polygon with 'n' number of sides is:

I = ( (n − 2) × 180 ) ⁄ n

We know the interior angle, so plug it in and solve for n:

160 = ( (n − 2) × 180 ) ⁄ n      

160n = (n − 2) × 180            

160n = 180n − 360                  

-20n = -360                            

n = 18                                  

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