QuestionAugust 26, 2025

A regular hexagon is drawn. Determine the angle measure of one interior angle (1 point) 36^circ 120^circ 72^circ 180^circ

A regular hexagon is drawn. Determine the angle measure of one interior angle (1 point) 36^circ 120^circ 72^circ 180^circ
A regular hexagon is drawn. Determine the angle measure of one interior angle (1 point)
36^circ 
120^circ 
72^circ 
180^circ

Solution
4.7(248 votes)

Answer

120^{\circ} Explanation 1. Determine the formula for interior angle The formula for the interior angle of a regular polygon is **\frac{(n-2) \times 180}{n}**, where n is the number of sides. 2. Apply the formula to a hexagon For a hexagon, n = 6. Substitute into the formula: \frac{(6-2) \times 180}{6} = \frac{4 \times 180}{6}. 3. Calculate the angle Simplify: \frac{720}{6} = 120^{\circ}.

Explanation

1. Determine the formula for interior angle<br /> The formula for the interior angle of a regular polygon is **$\frac{(n-2) \times 180}{n}$**, where $n$ is the number of sides.<br />2. Apply the formula to a hexagon<br /> For a hexagon, $n = 6$. Substitute into the formula: $\frac{(6-2) \times 180}{6} = \frac{4 \times 180}{6}$.<br />3. Calculate the angle<br /> Simplify: $\frac{720}{6} = 120^{\circ}$.
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