Question

Write the arms and the vertex of \[\angle LMP\] given in figure.

Answer 1

Hint: Here, in the question, we have been given a figure. And we are asked to write the vertex and arms of \[\angle LMP\]. We will first understand the meaning and definition of arms and vertex one by one. After that we would easily get the desired answer.

Complete step-by-step answer:

When two rays meet at a common endpoint, they form an angle. And that common end point is known as the vertex. In other words, the common end point at which two rays meet to form an angle is called the vertex.
In the given figure, \[ML\] and \[MP\] are the two rays meeting at common endpoint \[M\].
Therefore, the vertex of \[\angle LMP\] is \[M\].
The two rays joining to form an angle are known as the arms of that angle.
In the given figure, the two rays which are joining to form \[\angle LMP\] are \[ML\] and \[MP\].
Therefore, the arms of \[\angle LMP\] are \[ML\] and \[MP\].

Note: While answering such types of questions, it is important that we should remember the basic definitions and understand their meanings given by Euclid in his geometrical concepts. We have learnt here when the two rays lying in a plane meet at a common endpoint they form an angle. Also, when two planes intersect, angle is formed. And that common end point is known as the vertex and the two rays are called the arms of the triangle. The two rays are also known as the sides of the angle.