Construction of Standard Angles
Construction of Standard Angles: Overview
This topic discusses the construction of standard angles. It mentions several steps involved in the construction of an angle. For the justification of construction, the proof is also done. Moreover, exercise is given here for the practice.
Important Questions on Construction of Standard Angles
Construct the angle , in the same ray using a ruler and compass.

Is it possible to construct angle degrees without using a protractor? If possible construct the angle.

Construct the angle in the same ray without using a protractor.

Construct angle and using ruler and compass.

Construct angle degrees using ruler and compass.

The bisectors of angles and of a scalene meet at . What is the relation between angle and angle ?

The bisectors of angles and of a scalene triangle meet at . What is the relation between angle and angle ?

An angle of can be constructed using a ruler and a compass (Without using a protractor).

The steps to construct an angle of at the initial point of a ray is given below.
- Taking as centre and some radius, draw an arc of a circle, which intersects , say at a point .
- Taking as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point .
- Draw the ray passing through .
Which of the following statement is true?

We can draw an angle of with the help of

Construct the below angle:

Draw the following angle in your notebook

Which of the following angles cannot be constructed using a ruler and compass?

With the help of a ruler and a compass, it is not possible to construct an angle of
