Question

select the correct answer.
statement 1: if a figure is a regular hexagon, each interior angle of the figure measures 120°.
statement 2: figure 1 is a regular hexagon.
what is a logical conclusion from the given statements?
the interior angles of figure 1 are obtuse.
the interior angles of figure 1 measure 120°.
figure 1 has exterior angles.
figure 1 has interior angles.

Explanation:

Step1: Analyze Statement 1

Statement 1 gives a general rule: for a regular hexagon, each interior angle is \(120^{\circ}\).

Step2: Analyze Statement 2

Statement 2 identifies Figure 1 as a regular hexagon.

Step3: Apply the rule to the specific case

Since Figure 1 is a regular hexagon (from Statement 2) and for a regular hexagon each interior angle is \(120^{\circ}\) (from Statement 1), by the law of syllogism (applying a general rule to a specific instance), the interior angles of Figure 1 measure \(120^{\circ}\).

Answer:

The interior angles of figure 1 measure \(120^{\circ}\).