Question

Where does the vertex of an angle lie?

Answer 1

Hint: In this problem we need to find the position of the vertex of an angle. For this we will first see what is an angle that means the definition of the angle and the different parts of the angle with neat diagrams. After that we will closely look at the vertex of an angle and find its position in the angle.

Complete step by step solution:
We know that Angle is the measurement between the two joining lines or rays which have a common intersecting point which represents the relation between the position of one line or ray with respect to another line or ray. The angle between the two lines $AB$, $BC$ having common intersecting point $A$ is given below

In an angle we have different parts which are given 1) Vertex, 2) Arms, 3) Initial side, 4) Terminal Side.
Vertex is the point of angle which is the common point for the two lines or rays which forms the angle. In the above diagram point $A$ is the vertex.
The two lines or rays which form the angle are called Arms. In the above diagram $AB$, $BC$ are two Arms.
Initial side is the reference line which is the base of the angle. In the above diagram $AB$ is the initial side.
Terminal side is the line or ray whose position is given by the angle with respect to the initial line. In the above diagram $BC$ is the terminal side.
Hence the vertex of the line lies in the angle and it should be the common point for both the lines or rays of the given angle.

Note: In this problem they have only asked to find the position of the vertex of an angle which is a part of the angle. Sometimes they may ask to write the different types of angles based on their values, position.