1. Identify the given angles and their positions relative to the transversal line.
2. Use the property that alternate interior angles are equal when two parallel lines are cut by a transversal.
3. For each pair of alternate angles, the angle measure on the opposite side of the transversal and between the parallel lines is the same.
4. Apply this property to find the alternate angle measurements for each given angle.
- For the first diagram, the given angles are 42° and 138°. The alternate angle to 42° is 42°, and the alternate angle to 138° is 138°.
- For the second diagram, the given angle is 36°. The alternate angle is 36°.
- For the third diagram, the given angles are 30° and 150°. The alternate angle to 30° is 30°, and the alternate angle to 150° is 150°.
- For the fourth diagram, the given angle is 125°. The alternate angle is 125°.
- For the fifth diagram, the given angle is 56°. The alternate angle is 56°.
- For the sixth diagram, the given angle is 148°. The alternate angle is 148°.
Final answers:
- 42°, 138°
- 36°
- 30°, 150°
- 125°
- 56°
- 148°
Parent Tip: Review the logic above to help your child master the concept of alternate angles worksheet.
