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From the image, we are given a parallelogram where lines \( l \parallel m \), and \( p \parallel q \). The task is to find the angles \( a \), \( b \), \( c \), and \( d \).

1. **Angle \( a \)** is marked as 60°, as shown in the diagram.
2. **Angle \( b \)**: Since \( l \parallel m \) and the lines are cut by a transversal, \( b \) is a corresponding angle to \( a \), so \( b = 60^\circ \).
3. **Angle \( c \)**: Angles \( a \) and \( c \) form a straight line (supplementary angles), so \( c = 180^\circ - 60^\circ = 120^\circ \).
4. **Angle \( d \)**: Similarly, angles \( b \) and \( d \) form a straight line (supplementary), so \( d = 180^\circ - 60^\circ = 120^\circ \).

Thus, the values are:
- \( a = 60^\circ \)
- \( b = 60^\circ \)
- \( c = 120^\circ \)
- \( d = 120^\circ \)

Do you need further explanation on any of these angles or other questions? Here are some related questions to expand understanding:

1. Why are angles \( a \) and \( b \) corresponding angles?
2. How do we know angles \( a \) and \( c \) are supplementary?
3. What are alternate interior angles, and are any present in this diagram?
4. Can you explain why \( p \parallel q \) affects the angles \( c \) and \( d \)?
5. How would the solution change if \( a \) was a different value, say 75°?

**Tip:** In parallel line geometry, corresponding angles are equal, and supplementary angles always add up to 180°.

Learn how to find angles a, b, c, and d in a parallelogram formed by parallel lines l || m and p || q. This problem involves key concepts such as corresponding angles and supplementary angles. Suitable for students in Grades 7-9.

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