what makes two angles consecutive?
Two angles are considered consecutive if they share a common vertex and a common side
Two angles are considered consecutive if they share a common vertex and a common side. In other words, the end point of one angle’s side is also the starting point of the other angle’s side. Consecutive angles are often formed by the intersection of two intersecting lines, and they lie on the same side of the common side.
More specifically, if we have two lines intersecting at a point (the vertex), and we label the angles formed as angle 1 and angle 2, then angle 1 and angle 2 are consecutive angles if they meet the following conditions:
1. They share a common vertex: The point where the two lines intersect.
2. They share a common side: One side of each angle is the same line segment.
3. They lie on the same side of the common side: The two angles extend in the same direction from the common side.
Consecutive angles can be seen in various geometric figures and situations. For example, in a parallelogram, consecutive angles are the adjacent angles formed by intersecting diagonals. In a triangle, consecutive angles can be formed by two adjacent interior angles.
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