The diagram provided appears to depict a circle with various geometric elements, including angles and lines associated with a triangle, a tangent, and chords. To break down the key components:

• $O$ is the center of the circle.
• $A$, $B$, and $C$ are points on the circle.
• $D$, $L$, and $M$ seem to define a tangent to the circle, with $LD$ likely being the tangent at point $A$.
• The angle $\angle BAC$ is labeled as $76^\circ$.
• Two other angles $x$ and $y$ are indicated in the diagram, likely involving points $C$ and $O$.

Approach to solving:

We may be required to find angles $x$ and $y$ based on properties of the circle, such as:

• The angle subtended by a chord at the center vs. the angle subtended on the circumference.
• Properties of tangents (the angle between a tangent and a radius is 90 degrees).
• Relationships between angles in cyclic quadrilaterals, if relevant.

Before proceeding, could you clarify if you need to solve for $x$ and $y$, or if there are other specific questions related to this diagram?

Let me know if you want to proceed with solving for these angles, and I can walk through the process!