The image you provided shows a parallelogram with some angles and a variable $y$ to solve for. From the visible part of the diagram:

• The angle on the left is labeled as $42^\circ$.
• The angles on the top and bottom appear to be the internal angles of the parallelogram.
• The opposite sides of the parallelogram are parallel, which suggests that we can use the properties of parallelograms to solve for the unknowns.

Let me guide you through solving for $y$:

Key Properties of Parallelograms:

1. Opposite angles are equal.
2. Adjacent angles are supplementary (i.e., they sum up to $180^\circ$).

Steps to Solve for $y$:

• The angle adjacent to the $42^\circ$ angle should be $180^\circ - 42^\circ = 138^\circ$ because adjacent angles in a parallelogram are supplementary.
• Since opposite angles in a parallelogram are equal, the angle marked $y$ should be equal to the adjacent angle, i.e., $y = 138^\circ$.

Therefore, $y = 138^\circ$.

Let me know if you would like further details or if you have any questions!

Related Questions:

1. How do you calculate the area of a parallelogram?
2. Can a parallelogram have four right angles?
3. What is the sum of the interior angles of any quadrilateral?
4. How do opposite sides in a parallelogram compare in length?
5. What is the relationship between the diagonals of a parallelogram?

Tip: Always use properties like symmetry and angle relationships to simplify geometry problems in figures like parallelograms.