Questions: Alternate exterior angles are congruent. Which angle forms a pair of alternate exterior angles with angle 1 ?
Transcript text: Alternate exterior angles are congruent. Which angle forms a pair of alternate exterior angles with angle 1 ?
Solution
Solution Steps
Step 1: Identify the transversal
The line that intersects the two parallel lines is called a transversal. In this case, the transversal is the line that forms angles 1, 2, 3, and 4 with the top parallel line and angles 5, 6, 7, and 8 with the bottom parallel line.
Step 2: Define alternate exterior angles
Alternate exterior angles lie on opposite sides of the transversal and are outside the parallel lines.
Step 3: Locate angle 1
Angle 1 is located above the top parallel line and to the left of the transversal.
Step 4: Locate the alternate exterior angle to angle 1
The alternate exterior angle to angle 1 must be below the bottom parallel line and to the right of the transversal. This angle is angle 8.