One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus.

Explanation

To solve the problem, we need to find the angles of a rhombus when one of its diagonals is equal to one of its sides. Let's denote the rhombus as ABCD, where AB = BC = CD = DA (all sides are equal). We will denote the diagonal AC as being equal to side AD.

### Step-by-Step Solution:

1. **Understanding the Properties of a Rhombus**:
- All sides of a rhombus are equal.
- The diagonals of a rhombus bisect each other at right angles.
- Opposite angles are equal, and the sum of adjacent angles is 180 degrees.
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