Does the diagram show an adjacent angle?
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Does the diagram show an adjacent angle?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Inspecting the diagram, we notice several intersecting lines.
Step 2: To check for adjacent angles, we look for pairs of angles that share both a common vertex and a common side. An adjacent angle must be formed by such pairs, ensuring they do not overlap.
Step 3: Based on our definition, after closely examining the diagram, no pair of angles in the diagram seems to satisfy the definition of adjacent angles. The intersecting lines form angles that don't share a common arm with any other angle at the same vertex in the manner required for adjacency.
Therefore, the solution to the problem is No, the diagram does not show an adjacent angle.
No
Does the drawing show an adjacent angle?
Two angles are adjacent when they meet three requirements: they share a common vertex, they share a common side (ray), and they don't overlap. Think of it like two puzzle pieces that fit perfectly next to each other!
Yes! Adjacent angles can be formed by any intersecting lines or rays. What matters is that the two angles share a vertex and one common ray, regardless of how many lines create the intersection.
Look for the ray that forms the boundary between the two angles. This ray should be part of both angles - it's where one angle ends and the other begins.
Those are not adjacent! Adjacent angles must actually touch along their common side. If there's a gap between them or another angle in between, they're not adjacent.
Looking at the intersecting lines in this diagram, while there are multiple angles formed at intersection points, none of the angle pairs share a common ray in the way required for adjacency. The angles either overlap or don't share the right boundary.
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