How to Find Adjacent Angles

Adjacent angles are two angles that share a common vertex and a common side but do not have any common interior points. This means they sit next to each other or are "adjacent."

How to Find Adjacent Angles

A Step-by-step Guide to Finding Adjacent Angles

Here’s a simple guide on how to find adjacent angles:

Step 1: Identify the Vertex

First, identify the common vertex of the angles. The vertex is the point where the angles meet or where their sides intersect.

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Step 2: Find the Common Side

Next, look for the common side. Adjacent angles will always have one side (or ray) that is the same.

Step 3: No Common Interior Points

Finally, make sure that the angles do not have any common interior points. This means that they do not overlap each other.

For example, if you have a shape or diagram with multiple angles, the adjacent angle to ∠ABC might be ∠CBD. They share the vertex B and the side BC, but they do not share any interior points.

Keep in mind that two angles being adjacent doesn’t imply any specific relationship between their measures unless additional information is given. For instance, if the two adjacent angles form a straight line, they are supplementary, meaning their measures add up to 180 degrees. But if they form a right angle, they add up to 90 degrees.

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