Name a pair of adjecent angles​

Answer/s:1. Vertical Angles with Additional Line: A, B (opposite angles equal)2. Angles Around a Point: A, B, C, D (sum to 360 degrees)3. Angles in a Triangle: A, B, C (sum to 180 degrees)4 Angles in a Polygon: A₁, A₂, ..., Aₙ (sum to ( −2) × 180 (n−2)×180 degrees)5. Angles on a Straight Line: A, B (sum to 180 degrees)Explanation/s:Consider the angles formed by two intersecting lines. If line intersects line m at a point, and the angles formed are labeled as ∠∠A, ∠∠B, ∠∠C, and ∠∠D in a clockwise direction, then ∠∠A and ∠∠B are a pair of adjacent angles. They share the common side between lines and and the common vertex where the lines intersect.To make it more specific, here are some explanations:1. Vertical Angles with Additional Line:In a diagram where two lines intersect, the angles on either side of one of the intersecting lines (e.g., ∠ and ∠ if the lines intersect forming ∠ to the left of the intersection and ∠ to the right of the intersection) are adjacent.2. Angles Around a Point:If three angles around a point are formed by intersecting lines, such as ∠, ∠, and ∠, then ∠ and ∠ are adjacent, as are ∠ and ∠.3. Angles in a Triangle:In a triangle, each pair of consecutive angles (e.g., ∠ and ∠ in triangle ABC) are adjacent.4. Angles in a Polygon:In a regular polygon, consecutive interior angles (e.g., ∠ and ∠ in a pentagon) are adjacent.5. Angles on a Straight Line:If a straight line is intersected by another line creating angles ∠ and ∠ on either side of the intersection, then ∠ and ∠ are adjacent.Answered by: Ms. Sylvia

Answered by MsSylvia | 2024-09-04