__Construction of angles using protractor :__

Even though students know the different types of angles, many do not know, how to construct an angle using protractor.

Here we are going to see, how to construct an angle using protractor step by step.

To construct an angle using protractor, we must need the following mathematical instruments.

1. Ruler

2. Protractor

Let us see how an angle can be constructed using protractor through the following examples step by step.

Example 1 :

Construct an acute angle of 60°

Step 1 :

Draw a line segment PA.

Step 2 :

(i) Place the protractor on the line segment PA

(ii) Place the mid point of the protractor at point P as shown in the figure.

Step 3 :

(i) On PA from the right start counting from 0° in the ascending order (counter clock wise direction and finally mark a point Q using a sharp pencil at the point showing 60° on the semi-circular edge of the protractor.

(ii) Remove the protractor and join PQ

(iii) We get the required angle <APQ = 60°

Example 1 :

Construct an acute angle of 125°

Step 1 :

Draw a line segment PA.

Step 2 :

(i) Place the protractor on the line segment PA

(ii) Place the mid point of the protractor at point P as shown in the figure.

Step 3 :

(i) On PA from the right start counting from 0° in the ascending order (counter clock wise direction ) and finally mark a point Q using a sharp pencil at the point between 120° and 130° showing 125° on the semicircular edge of the protractor.

(ii) Remove the protractor and join PQ

(iii) We get the required angle <APQ = 125°

The above examples clearly illustrate, "How to construct an angle using protractor and ruler".

Here we have seen "How to construct an angle using protractor and ruler".

Apart from using protractor, we can construct angles using compass also.

Construction of angles using compass

After having gone through the stuff given above, we hope that the students would have understood "Construction of angles using protractor"

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