### Mathematics Class VI

Knowing Our Numbers
Whole Numbers
Playing With Numbers
Basic Geometrical Ideas
Fractions
Integers
Decimals
Data Handling
Mensuration
Algebra
Ratio and Proportion
Practical Geometry
Symmetry

# Construction of Angles using compass ruler

Angle is a stature formed by two rays. The two rays have a common endpoint which is called the vertex of the angle.

1. Construction of an angle with a given measure

Draw an angle of using a protector.

Step 1: Draw a line BA.

Step 2: Put the protector on the line in such a way that the centre of the protector lays on point B and the zero edge comes on the line segment BA.

Step 3: Start from and mark the point C at .

Step 4: Join BC.

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1. The bisector of an angle

An angle bisector is the line segment which divides a particular angle into two equal parts. It is also called the line of symmetry of the angle.

Construction of angle bisector (using a ruler and compass)

Draw the angle bisector of .

Step 1: Put the point on O and draw an arc of any radius so that it cut the rays at point A and B.

Step 2: Put the pointer on point A and draw an arc of the radius of more than half of AB.

Step 3: While taking B as the centre. We will draw an arc of the same radius so that it cut the previous arc at point C.

Step 4: Join OC. OC is the required angle bisector of .

Hence, .

1. Angles of special measures

There are some angles which we can construct accurately with the help of a compass without using a protector.

Construction of angle.

Step 1: Draw a line m and mark a point C on it.

Step 2: Take C as the centre and draw an arc of any radius to cut the line at point D.

Step 3: While taking D as the centre we need to draw an arc of the same radius to cut the previous arc.

Step 4: Join CE. .

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