If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex, what shape is produced?

If a right circular cone is intersected by a plane that goes through both napes of the cone but not through the vertex then the shape that is formed by this intersection is:

                          Hyperbola.

Step-by-step explanation:

We know when  a plane cuts just one nape of the cone then either a ellipse or a parabola or circle is formed depending on the angle that plane forms.

And when it passes through both the nape then a hyperbola is obtained.

      Hence, the answer is Hyperbola.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: