Question

in which figure do ∠1 and ∠2 represent a pair of alternate exterior angles?

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze each figure

• In the first figure, \(\angle1\) and \(\angle2\) are not in the correct position (not on opposite sides of the transversal in the sense of alternate exterior angles).
• In the second figure, \(\angle1\) and \(\angle2\) are not in the correct position (not on opposite sides of the transversal in the sense of alternate exterior angles).
• In the third figure, \(\angle1\) and \(\angle2\) are not in the correct position (not on opposite sides of the transversal in the sense of alternate exterior angles).
• In the fourth figure, \(\angle1\) and \(\angle2\) are non - adjacent, lie outside the two lines and on opposite sides of the transversal.

Answer:

The fourth figure.