Q.

How many vertices does an angle have?


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a

1

b

2

c

3

d

4 

answer is A.

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Detailed Solution

Concept- Look at the vertex and angle definitions from a geometrical perspective first. Try now to create an angle. Find out how many vertices were used during the drawing process. The used vertices are then added. The number of vertices in an angle is the only source of the overall number of vertices used. In the question presented above, this is the desired outcome.
A vertex is a point in geometry where two or more curved lines or edges come together. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra. Vertex is referred to as the singular form. The word "vertices" is plural.
Angle: In plane geometry, an angle is a figure made up of two rays that share a vertex and are referred to as the sides of the angle. There is a plane in which the angles created by two rays lie, but it need not be a Euclidean plane.The angle created when two curves intersect in a plane is known as the tangent angle since it is determined by the junction locations' tangent rays. The dihedral angle formed by the great circles determines the spherical angle formed by two great circles on a sphere.
As an illustration, let's draw a plane angle of 600. Consider a plane, such as the x-y coordinate plane, for illustration. Put a ray in the aircraft (for clarity take it parallel to x- axis) .
IMG_256
Mark the ray's termination point with the A-provided variable. The base of the protractor must now be on the ray indicated by A, so mark the protractor's midpoint on A and position it accordingly.
Mark point B at 60° from the protractor's base now to obtain
IMG_256 IMG_257
  Mark the angle between the beams as 60° and then draw a ray from A to B (do not stop at B) . According to the preceding diagram, A is the angle's vertex. Similar to angles, each has a vertex.
Therefore, an angle has a single vertex.
Hence, the correct option is 1.
 
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