Questions: Alternate exterior angles are congruent. Which angle forms a pair of alternate exterior angles with angle 1 ?

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 ?
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Solution

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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.

Final Answer

8

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