How to Construct a 60 Degree Angle?

We can construct a 60° angle,

• Using a Compass and Ruler
• Using Protractor

Let’s discuss these methods in detail.

Construct a 60° Angle using a Compass and Ruler

To construct a 60° angle using compass and ruler, we can use the following steps:

Step 1: Draw a straight line (ray) AB on your paper.

Step 2: Choose a point A on line AB and mark it as the vertex of your angle.

Step 3: Set your compass width to any convenient length.

Step 4: Place the compass pointer on point A and draw an arc intersecting line AB at point C.

Step 5: Move the compass pointer to point C and draw another arc above line AB.

Step 6: Name the intersection of this arc and line AB as point D.

Step 7: Connect points A and D with a straight line using a ruler, to construct the angle CAD that measures 60°.

Construct a 60° Angle using Protractor

To construct a 60° angle using Protractor, we can use the following steps:

Step 1: Using a ruler, draw a straight line (ray) on your paper. Let’s name this line AB.

Step 2: Position the protractor so that its baseline aligns with line AB, and the center (hole) of the protractor is placed at point A.

Step 3: Make a small mark at the 60° mark on the protractor. Let’s name this point C. Point C represents the vertex of the 60° angle.

Step 4: Join A and C, to construct a 60° angle BAC.

An angle is a form of geometrical shape constructed by joining two rays to each other at their endpoints. The two lines joined together are called the arms of the angle.

A 60-degree angle is a basic and important concept in geometry. It is one-sixth of a full circle, which measures 360 degrees. In this article, we will be discussing the 60° angle and everything about it.