Equal Angle Sections

Introduction :

Angle is said to be the two rays which starts form a point. Then common point of two rays is denoted as vertex of angle. The line which tends from the vertex of an angle makes to equal angle sections. Here the angle ACB and to get equal angle sections as ACD and DCB. In this article, we study about how we get equal angle section of a angle with help of compass.

ACD and DCB are equal angle sections
Equal Angle Sections of an Angle:

Let we take an angle ABC. Here the vertex of an angle ABC is the B, because B is the point where the two rays A and C moves. Here we study how to get equal angle sections of an angle ABC.

equal angle sections of ABC

Consider the degree of ABC is X unit. To get two equal sections of the angle, we have to draw ray form the common point B which make two angles.  After the section of angle is formed, the degree of two angles are equal that is as x/2 degree Which is half of degree in ABC.  Let us study the following procedure to get equal angle sections of angle with the help of compass

Equal Angle Sections of an Angle:

Procedure to equal Angle Sections – Help of Compass:

to make equal angle section of ABC

Step 1: Place the compass tip at the vertex of an angle ABC. Here the vertex is B.

Step 2: Now take some width of compass and draw arc on both rays A and C.

Step 3: Mark the intersection point on both rays A and C as “E” and “F” respectively.

to make equal angle section of ABC

Step 4: Draw an arc with some width of compass as the point E is center.

Step 5: AS like draw an arc without changing the compass width as the center of the point “F”.

Step 6: Name the intersecting arc as  “G”

to make equal angle section of ABC

Step 7: Now draw the line between the vertex point as “B” and the point G.

Now we can see the ray G that is extending from vertex of an angle B that makes two equal sections of ABC. Here we can see two equal angle sections as ABG and the angle GBC having equal degree.