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The diagram shows two parallel lines cut by a transversal, forming angles. The given angle is 108°, and you are asked to find the value of angle \( a \).

Since the two lines are parallel, the angles formed by the transversal are related. Specifically, the angle labeled 108° and the angle \( a \) are *alternate interior angles*, meaning they are congruent.

Thus, angle \( a = 108^\circ \).

Would you like more details or have any further questions?

Here are 5 related questions to expand on this concept:
1. What are corresponding angles in parallel line situations?
2. How do alternate exterior angles behave in parallel line configurations?
3. How would you calculate a supplementary angle if one is given?
4. What is the sum of angles on a straight line, and how can this help with angle calculations?
5. How do angles in a triangle sum up to 180° in different scenarios?

**Tip:** In parallel line problems, identifying angle pairs like alternate interior, corresponding, or vertically opposite angles simplifies finding unknown values.

The angle a is formed by two parallel lines cut by a transversal, with one of the angles being 108°. What is the value of angle a?

Learn how to find the value of angle a formed by two parallel lines cut by a transversal when one of the angles is given as 108°. This problem covers key geometry concepts such as alternate interior angles and the properties of parallel lines. Suitable for students in Grades 6-8.

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