Question

identify the angle relationship given in each diagram.

Explanation:

Step1: Recall angle - relationship definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. Vertical angles are opposite each other when two lines intersect. Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Consecutive interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze the first diagram

If the angles are on the same side of the transversal and between the two parallel lines \(l\) and \(m\), they are consecutive interior angles.

Step3: Analyze the second diagram

If the angles are on the opposite sides of the transversal and between the two parallel lines \(l\) and \(m\), they are alternate interior angles.

Step4: Analyze the third diagram

If the angles are in the same relative position with respect to the transversal and the parallel lines \(l\) and \(m\), they are corresponding angles.

Step5: Analyze the fourth diagram

If the angles are on the opposite sides of the transversal and outside the two parallel lines \(l\) and \(m\), they are alternate exterior angles.

Answer:

1. Consecutive Interior
2. Alternate Interior
3. Corresponding
4. Alternate Exterior