Question

Find the value of z.

Answer 1

Answer:

$60 \: degrees$

Step-by-step explanation:

$180(n - 2)$

you have to put the number of sides for n

$180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720$

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.

$\frac{720}{6} = 120 \: \: degrees$

we know that,

interior angle + exterior angle = 180 degrees

$120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees$

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