In a parallelogram, opposite angles are equal, and the sum of adjacent angles is $180^\circ$.

Given:

• One angle measures $25^\circ$.

Solution:

1. The opposite angle will also be $25^\circ$ since opposite angles in a parallelogram are equal.
2. The adjacent angles will each measure $180^\circ - 25^\circ = 155^\circ$ since adjacent angles in a parallelogram add up to $180^\circ$.

Therefore, the measures of the four angles are:

• $25^\circ$, $155^\circ$, $25^\circ$, and $155^\circ$.

Would you like more details on this concept or have any questions?

Here are some related questions for further exploration:

1. What are the properties of a parallelogram in terms of angle relationships?
2. How do the properties of a parallelogram apply to solving for missing angles?
3. If one angle in a parallelogram is obtuse, what can we infer about the other angles?
4. How would this solution change if the shape were a rectangle or rhombus?
5. What would happen to the angle measures if one of the angles were doubled?

Tip: In any quadrilateral, especially in a parallelogram, knowing just one angle can often help determine all others due to the symmetry and angle relationships.