Question

When an arm of an angle is extended to double its length, then the measure of the angle:
A) Doubles
B) Triples
C) Remains the same
D) Becomes half

Answer 1

Hint:
Here we will use the concept of the angles made by two lines. Angle is the measure of the projection of one line over the other line and is measured in terms of degrees. So, with the help of this we will get the measure of the angle.

Complete Step by Step Solution:
It is given that there is a formation of the angle between the arms.
We know that the angle is formed between two line segments intersecting at a point. Line segments are used to form a figure that is also known as the edges of the figure. The points at which these edges meet are known as the vertices of the figure.

We know that the angles do not depend upon the length of the arms or that the angle is independent of the length of the arms.
So, even if the length of the arms is extended to double its length, the angle between the arms will remain the same as it was in the initial condition i.e. without the extended length.
Hence, when an arm of an angle is extended to double its length, then the measure of the angle remains the same.

Therefore, option C is the correct option.

Note:
Geometry is the branch of mathematics that deals with points, lines and shapes. We should know the diagrams of the basic shapes.
When two or more lines cross each other in a plane, they are called intersecting lines and the point where these lines intersect is called a Point of Intersection or vertex.
Any shape like a triangle is a polygon with three edges or sides and three vertices. Side is one of the straight line segments which are used to construct or draw a polygon.