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.
