`A B C D` is a rhombus in which the altitude from `D` to side `A B\ ` bisects `A Bdot` Find the angles of the rhombus.

Explanation

To find the angles of rhombus ABCD where the altitude from D to side AB bisects AB, we can follow these steps:

### Step 1: Understand the Properties of the Rhombus
A rhombus has all four sides equal in length, and the diagonals bisect each other at right angles. Additionally, the diagonals also bisect the angles of the rhombus.

### Step 2: Draw the Rhombus and the Altitude
Draw rhombus ABCD. Let D be the vertex from which the altitude DL is drawn to side AB, where L is the foot of the altitude. Since DL is perpendicular to AB, we have angle DLA = 90°.

...