30 Degree Angle - Steps Of Construction, How To Measure?, Examples

30 Degree Angle

A 30-degree angle is an acute angle. An angle is formed when two lines meet or intersect at a point. An acute angle is one in which the measure of the angle is less than 90 degrees. When a 60-degree angle is bisected we get two angles, each measuring 30 degrees. Let us learn about a 30-degree angle, the steps for construction, and some real-life examples of 30 degrees.

1.	What is a 30-Degree Angle?
2.	Constructing 30-Degree Angle Using Protractor
3.	Construction of 30-Degree Angle Using a Compass
4.	30-Degree Angles in Real Life
5.	FAQs on 30-Degree Angle

What is a 30-Degree Angle?

An angle is formed when two rays meet at a point. In the given figure, the point of intersection of the ray OA and ray OB is O, which is called the vertex.

If the measure of the angle formed by two rays is 30 degrees, then the angle is called a 30-degree angle. The angle formed by the ray OA and OB is written as ∠AOB or ∠BOA. ∠AOB=∠BOA=30°.

Constructing 30-Degree Angle Using Protractor

In this section, let us explore how to construct a 30-degree angle with the help of a protractor. Follow the given steps:

Step 1: Draw a line segment OA.

Step 2: Place the center tip of the protractor at point O such that the protractor perfectly aligns with line AO.

Step 3: Start from 'A' on the protractor in the clockwise direction and stop at 30. Mark it as point 'D'. If point 'A' lies to the right of 'O', then start measuring anticlockwise and stop at 30.

Step 4: Join point 'D' with 'O'. ∠AOD=30° is the required 30 degree angle.

Construction of 30 Degrees Using Compass

An angle of 30 degrees can also be constructed using a compass. Now let us see how to construct a 30-degree angle using a compass, ruler, and a pencil. Follow the steps given below:

• Draw a ray AB. With A as the center and a suitable radius on the compass draw a semicircular arc such that it touches the line segment AB at a point C.
• With C as the center and without any change in the radius, draw an arc that cuts the semicircular arc at point D.
• With C and D as the center, draw two arcs that intersect each other and label it as E.
• Join the points A and E. Here, ∠EAB = 30°.

The construction of the angle of 30° using a compass is shown below.

30-Degree Angles in Real Life

The 30-degree angle can be seen in many objects around us. The hands of an analog clock at 1:00 forms an angle of 30 degrees.

A pizza when cut into 12 slices, sometimes makes a 30-degree angle. Sometimes, the scissors we use to cut paper and cloth make a 30-degree angle. Have you ever gone for a cycle ride with your friends and observed that the roads are diverging at some angles. Those angles could be 30-degree angles.

Think Tank

Check out a few interesting questions about a 30-degree angle.

How many 30-degree angles are there in a

a) Straight angle b) Complete angle

Important Notes

Here are a few important notes about the 30-degree angle.

• Another unit used to measure angles is the radian.
• π radians = 180°.
• 30° in radians is π/6.
• The 30-degree angle is an acute angle.

Topics Related to 30-Degree Angle

Check out some interesting articles related to the 30-degree angle.

• Angles
• Acute Angle
• Obtuse Angle
• Types of Angles
• Geometry