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ALTERNATE EXTERIOR ANGLE

__ALTERNATE EXTERIOR ANGLE -__

**Alternate exterior angles are a type of angle relationship formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and outside the pair of parallel lines. Here are the key properties of alternate exterior angles:-**

**(1) Definition:-**

**Alternate exterior angles are angles that are on opposite sides of the transversal and outside the pair of parallel lines.**

**(2) Location:-**

**These angles are found outside the pair of parallel lines on opposite sides of the transversal.**

**(3) Parallel Lines:-**

**When the lines intersected by the transversal are parallel, alternate exterior angles are congruent (equal).**

**(4) Symbolically:-**

**If two lines are parallel, alternate exterior angles are denoted as ∠1 ≅ ∠8, and ∠2 ≅ ∠7, for example.**

**(5) Relationship:-**

**Alternate exterior angles have the same measure and share similar geometric characteristics.**

**In a diagram where a transversal intersects two parallel lines, alternate exterior angles are typically identified using specific angle markings or letters. For example, if ∠1 and ∠8 are alternate exterior angles, then they are equal. The same applies to pairs like ∠2 and ∠7.**

**Understanding the concept of alternate exterior angles is important in** **geometry, particularly when analyzing the relationships between angles formed by parallel lines and transversals. It is one of the key angle relationships that arise in geometric configurations involving intersecting lines.**