In a ` A B C` , find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

Explanation

To find the measures of the angles of the triangle formed by joining the midpoints of the sides of triangle \( ABC \), we can follow these steps:

### Step 1: Identify the Midpoints
Let \( D \), \( E \), and \( F \) be the midpoints of sides \( AB \), \( BC \), and \( CA \) respectively.

### Step 2: Establish Parallel Lines
According to the properties of triangles, the line segment joining the midpoints of two sides of a triangle is parallel to the third side. Therefore, we have:
- \( DE \parallel AC \)
...