The question states:

(a) In a rhombus, if one angle is 120°, what is the measure of each of the other angles?

Solution:

1. In a rhombus, opposite angles are equal, and the adjacent angles are supplementary (sum to 180°).

2. Given one angle is 120°, its opposite angle will also be 120°.

3. The remaining two angles are supplementary to 120°: $180° - 120° = 60°$

4. Thus, the other two angles are each 60°.

Answer:

The angles in the rhombus are:

• 120°, 120°, 60°, and 60°.

Would you like further details on this solution, or do you have any questions?

Here are 5 related questions to deepen your understanding:

1. What are the properties of angles in a rhombus?
2. How do you find angles in other types of parallelograms?
3. If the given angle was 100°, what would the other angles be?
4. How do adjacent and opposite angles behave in different quadrilaterals?
5. Can a rhombus have all angles equal? Why or why not?

Tip: In any parallelogram, adjacent angles are always supplementary, a helpful property for solving angle problems.