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Makovka662 [10]
3 years ago
15

A regular hexagon is shown below. Find the value of X

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0

Answer:

x=9

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to (11x+21)^o.

Since an interior angle of a hexagon measures 120°, we have the equality

(11x+21)=120.

Now it is just a matter of solving for x:

11x=120-21\\\\11x=99\\\\x=\frac{99}{11} \\\\\boxed{x=9}

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