Related Topics:
More Lessons for Geometry
Math Worksheets
In this lesson, we will look at constructing different angles and shapes using compasses
- A 90° angle can be obtained by constructing a perpendicular bisector.
- A 45° angle can be obtained by bisecting a 90° angle.
- A 22.5° angle can be obtained by bisecting a 45° angle.
- A 60° angle can be obtained by constructing an equilateral triangle.
- A 30° angle can be obtained by bisecting a 60° angle.
- A 15° angle can be obtained by bisecting a 30° angle.
Example:
The figure shows a point A on a straight line. Construct an angle of 45° at point A.

Solution:
Construct a 90° angle, and then construct an angle bisector to obtain a 45° angle.

The following video shows
- how to bisect a line
- how to bisect an angle
- how to construct a right angle
- how to construct a 60° angle
- how to construct a hexagon
The following video shows
- how to construct a 120° angle
- how to construct a 45° angle
- how to construct a 30° angle
- how to construct an equilateral triangle
- how to construct triangle given 3 sides using compasses
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.