A regular hexagon can be divided into six congruent equilateral triangles. What is the measure of each interior angle of a regular hexagon? If necessary, round to the nearest tenth.

• A. $140°$
• B. $108°$
• C. $120°$
• D. $135°$

Answer: (C)

Verified step by step guidance

1. Recall that a regular hexagon has six equal sides and six equal interior angles.
2. Understand that the hexagon can be divided into six congruent equilateral triangles, each with interior angles of 60 degrees.
3. Use the fact that the sum of the interior angles of any polygon with \(n\) sides is given by the formula: \(\text{Sum of interior angles} = (n - 2) \times 180^\circ\).
4. Substitute \(n = 6\) for a hexagon into the formula to find the total sum of interior angles: \((6 - 2) \times 180^\circ\).
5. Divide the total sum of interior angles by 6 (the number of angles) to find the measure of each interior angle of the regular hexagon.