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Question Video: Identifying Adjacent Angles Mathematics

Are ∠1 and ∠2 adjacent angles?

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Video Transcript

Are angle one and angle two adjacent angles?

We might begin by recalling that adjacent means next to and looking to see whether angles one and two are next to one another. That’s not quite enough though. We actually say that adjacent angles have a common vertex and a common side, where the vertex of an angle is the endpoint of the rays that form the sides of the angle.

Let’s begin by finding angle one in our diagram. It’s this one here. Angle two is here. We ended up actually having to overlap our pink and yellow lines, and so we see that they have a common side. It’s this one. But do they share a common vertex? Well, no, angle one’s vertex is here whereas angle two’s vertex is all the way up here. And so we say no, they are not adjacent angles.

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