Final answer:
The sum of the interior angles of a pentagon can be calculated by multiplying the number of triangles that can be formed within the pentagon, which is 3, by the sum of angles in one triangle, which is 180 degrees, giving us a total of 540 degrees.
Step-by-step explanation:
To determine the sum of the interior angles of a pentagon, we can use our knowledge of triangles. Since the question states that 3 triangles can be drawn in a pentagon, and each triangle has an angle sum of 180 degrees, we multiply the number of triangles by 180 degrees to find the sum of the interior angles of the pentagon.
Calculating the total, we have:
• Number of triangles in pentagon = 3
• Sum of angles in one triangle = 180 degrees
• Sum of angles in pentagon = 3 triangles × 180 degrees/triangle
Therefore, the sum of the interior angles of the pentagon = 3 × 180 = 540 degrees.
The answer to the given question is A) 540 degrees.