Constructions of Angles without Using a Protractor

Kanojiya, Rajkumar (2022) Constructions of Angles without Using a Protractor. At Right Angles (14). p. 40. ISSN 2582-1873

[img] Text - Published Version
Download (138kB)


Most students enjoy the topic of geometrical constructions using compass and ruler. When it comes to constructing specific angles, we consider only multiples of 15°. Students wonder: what about angles such as 10°, 20°, 40° and 50°? Can we construct these too? In this article, we consider this problem and offer an approximate procedure which yields angles that are reasonably close to the desired measure. So, the solution that we give is not exact. It is assumed that the student knows: (i) how to construct a 60° angle, (ii) how to divide a line segment in a given ratio, using compass and ruler only.

Item Type: Articles in APF Magazines
Authors: Kanojiya, Rajkumar
Document Language:
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
Note: Constructions of Angles, Teaching, Mathematics, Rascal Triangle
Publisher URL:

Actions (login required)

View Item View Item