Question

Name the vertex and arms of $\mathrm{\angle }ABC$, given in the figure below.

Answer 1

Hint: In this question we need to find the vertex and arm of the given $\mathrm{\angle }ABC$. In this problem we need to know about vertex. When two rays have a common endpoint they form an angle. The common end point is called the vertex. Otherwise the common end point at which two rays meet to form an angle is called vertex. Similarly we have to know about the arm of an angle. The two rays joining to form an angle are called arm of an angle. Here they gave an angle $\mathrm{\angle }ABC$. In this we need to find the vertex and arm of the angle.

Complete step-by-step solution:

AB and AC are two rays joining to form angle, Here the arms of $\mathrm{\angle }ABC$ are AB and AC.
The common end point at which rays meet to form an angle, Here the vertex of $\mathrm{\angle }ABC$ is B.

The arms of $\mathrm{\angle }ABC$ are $AB$ and $AC$ and the vertex of $\mathrm{\angle }ABC$ is $B$.

Note: We have to remember that, in Euclidean geometry, an angle is formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. Two rays sharing a common endpoint form an angle. The common endpoint is called the vertex, and the two rays are called the arms of the angle.