Question Video: Recognizing Adjacent Angles | Nagwa Question Video: Recognizing Adjacent Angles | Nagwa

# Question Video: Recognizing Adjacent Angles Mathematics

Determine whether the angles ∠5 and ∠6, are adjacent, vertical, or neither adjacent nor vertical.

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### Video Transcript

Determine whether the angles, angle five and angle six, are adjacent, vertical, or neither adjacent nor vertical.

We know that adjacent angles are two angles that have a common vertex and a common side, where the vertex is the endpoint of the rays that form the sides of the angle. Vertical angles are angles which are opposite one another when two lines intersect at a vertex. For example, 𝑎 and 𝑏 in this diagram are vertical angles or sometimes you say vertically opposite. Let’s begin by identifying angle five. Angle five is this one. Then, angle six is here. We see they do share a common vertex. It’s this one right at the center of our diagram. They also share a common side; that’s this one. And so we see that angles five and angle six are adjacent.

If we were to find some vertical or vertically opposite angles in our diagram, we could say that five and two are vertical angles. It’s worth noting that angles cannot be both adjacent to one another and vertical or vertically opposite from one another.

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