In a parallelogram, if one angle is 60°, what is the measure of the adjacent angle? show your solution

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (they add up to \(180^\circ\)).

### Solution:
Let one angle of the parallelogram be \(60^\circ\).
- Since adjacent angles in a parallelogram are supplementary, the adjacent angle will be:
\[
\text{Adjacent angle} = 180^\circ - 60^\circ = 120^\circ
\]

Thus, the measure of the adjacent angle is \(120^\circ\).

Would you like further details or have any questions? Here are 5 related questions to consider:

1. What are the properties of a parallelogram related to its angles and sides?
2. How do you prove that opposite angles in a parallelogram are equal?
3. Can a parallelogram have all angles equal? What kind of parallelogram would that be?
4. If one angle of a parallelogram is \(90^\circ\), what kind of parallelogram is it?
5. How would the solution change if the angle were \(70^\circ\) instead of \(60^\circ\)?

**Tip:** In any quadrilateral, the sum of the interior angles is always \(360^\circ\). This fact helps in solving for unknown angles in parallelograms and other quadrilaterals.

In a parallelogram, if one angle is 60°, what is the measure of the adjacent angle? Show your solution.

Discover how to find the adjacent angle in a parallelogram when one angle is given as 60°. This geometry problem explains key concepts such as the properties of parallelograms and the supplementary angles theorem. Ideal for students in Grades 6-8.

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