Find the value of z.
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Answer:
[tex]60 \: degrees[/tex]
Step-by-step explanation:
[tex]180(n - 2)[/tex]
you have to put the number of sides for n
[tex]180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720[/tex]
720 is the sum of interior angles. so to find the value of an angle you have to divide 720 by the number of angles.
[tex] \frac{720}{6} = 120 \: \: degrees[/tex]
we know that,
interior angle + exterior angle = 180 degrees
[tex]120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees[/tex]
hope this helps
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