Question

1. choose the correct answer. apply the triangle sum theorem to find the sum of the angles in the pentagon. a pentagon can be divided into three triangles.

360°
720°
108°
540°

Explanation:

Step1: Recall the Triangle Sum Theorem

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate the sum of angles in the pentagon

Since the pentagon is divided into 3 triangles, we multiply the sum of angles in one triangle by the number of triangles. So, the sum of angles in the pentagon is \(180^{\circ}\times3\).

$$180^{\circ}\times3 = 540^{\circ}$$

Answer:

\(540^{\circ}\) (the fourth option)