To solve this problem, we need to understand some properties of a parallelogram.

Key Properties of a Parallelogram

1. Opposite angles are equal.
2. Consecutive angles (angles next to each other) are supplementary, meaning they add up to 180°.

Given Information

• One angle of the parallelogram is 61°.

Solution

Since opposite angles are equal, there’s another angle that is also 61°.

For the remaining two angles, we know they are supplementary to 61°: $180^\circ - 61^\circ = 119^\circ$

Thus, the four angles of the parallelogram are:

• $61^\circ, 119^\circ, 61^\circ,$ and $119^\circ$.

Let me know if you need more details or have further questions!

Related Questions

1. What if a different angle was given instead of 61°? How would you solve it?
2. How do the angle properties of a parallelogram differ from a rectangle?
3. Can a parallelogram have all four angles equal? What shape would it become?
4. How would you verify if a quadrilateral with given angles is a parallelogram?
5. What is the sum of all interior angles in any quadrilateral?

Tip

Always remember: in any parallelogram, opposite angles are equal, and consecutive angles are supplementary. This can simplify angle calculations greatly.