The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is `60^(@)`. Find the angles of the parallelogram.

Explanation

To solve the problem, we need to find the angles of a parallelogram given that the angle between two altitudes through the vertex of an obtuse angle is \(60^\circ\).

### Step-by-Step Solution:

1. **Understanding the Problem**:
We have a parallelogram \(ABCD\) where angle \(A\) is obtuse. The altitudes from vertex \(A\) to side \(DC\) are \(AM\) and \(AN\). The angle between these two altitudes is given as \(60^\circ\).

2. **Drawing the Figure**:
...