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guided example 2 find \\(x\\). first, find the sum of the measures of a…

Question

guided example 2

find \\(x\\).

first, find the sum of the measures of a hexagon.

\\((6 - 2)180^{\circ} =\\)

Explanation:

Calculate the sum of the interior angles of a hexagon

$$ S = (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ $$

Set up the equation for the sum of the interior angles

$$ 84^\circ + 128^\circ + 150^\circ + x + 103^\circ + 87^\circ = 720^\circ $$

Solve for x

$$ LATEXBLOCK0 $$

Answer:

Question 1

First, find the sum of the measures of a hexagon.

$$(6 - 2)180^\circ = 720^\circ$$

Question 2

Find \(x\).

$$x = 168$$