Final answer:
The measures of the angles can be determined using the properties of parallel lines and transversals.
Step-by-step explanation:
In the given figure, m and n are parallel lines and l is a transversal. When a transversal intersects two parallel lines, several pairs of angles are formed. These pairs of angles have special properties.
For example, the alternate interior angles are congruent, which means they have the same measure. In this case, angle a and angle d are alternate interior angles, so their measures are equal.
Similarly, the corresponding angles are also congruent. In this case, angle e and angle d are corresponding angles, so their measures are equal.
Measures of the angles:
- Angle a = Angle d (Alternate interior angles)
- Angle b = Angle e (Corresponding angles)
- Angle c = Angle f (Corresponding angles)
- Angle g = Angle h (Alternate interior angles)
Learn more about Parallel lines and transversals