It's where the two lines meet, kinda like the corner...
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the vertex of the angle is the point
vertex angle
The vertex angle is connected to the vertex point
If the 58°-angle is one of the base angles, then the vertex angle is 64°.If the 58°-angle is the vertex angle, then the vertex angle is 58°.
Every angle has a vertex. A vertex is simply the line through the center of each angle. The line splits the angle exactly in half.