Question

1. how many non - overlapping triangles can this figure be divided into? the figure is a pentagon labeled a, b, c, d, e. the options are 0, 2, 3.

Explanation:

Step1: Identify the polygon type

The figure is a pentagon, so the number of sides \( n = 5 \).

Step2: Use the formula for non - overlapping triangles in a polygon

The formula for the number of non - overlapping triangles that a convex polygon with \( n \) sides can be divided into is \( n - 2 \).
Substitute \( n = 5 \) into the formula: \( 5-2=3 \).

Answer:

3 (corresponding to the option with 3)