The perimeter of the regular hexegon is 48 inghes and the apothern is 6.9 inches.

What is the measure of one interior angla of
the hexagon?

Question

The perimeter of the regular hexegon is 48 inghes and the apothern is 6.9 inches. 1. What is the measure of one interior angla of the hexagon?

UpStudy AI · Accepted Answer

1. A regular hexagon has $$ n = 6 $$ sides.

2. The formula for each interior angle of a regular polygon is given by:

$$
\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}
$$

3. Substituting $$ n = 6 $$:

$$
\text{Interior Angle} = \frac{(6-2) \times 180^\circ}{6} = \frac{4 \times 180^\circ}{6}
$$

4. Simplifying:

$$
\text{Interior Angle} = \frac{720^\circ}{6} = 120^\circ
$$
Each interior angle of the hexagon is 120 degrees.

Solución de inteligencia artificial de Upstudy