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18 votes
Honestly I’ve cheated through all of geo, so someone help me out! (:

Honestly I’ve cheated through all of geo, so someone help me out! (:-example-1
User Ravik
by
5.2k points

1 Answer

13 votes

Answer:

x = 16

k = 145 degrees

Explanation:

We can see that the polygon is 7 sided

The sum of the internal angles will

be:

(n-2)180: (7-2) * 180 = 900

By adding all internal angles, we get 900

5x + 10x + 9x + 1 + 9x - 14 + 9x + 1 + 10x + 5x = 900

57x -12 = 900

57x = 912

x = 912/57

x = 16

The side marked k

is 9x + 1

= 9(16) + 1 = 145 degrees

User Jason Farnsworth
by
5.3k points