What is a 90 Degree Angle? Construction and Examples (Explained)

Angles are useful not only for gaining marks in class tests but also for real-life measurements. They optimize processes by improving position, direction, and precision. For instance, carpenters use angles, like 45-degree angle and angle 90 degree, while making furniture.

Although some learners may feel difficulty while identifying and constructing the 90 degree angle. So I have compiled a guide on this angle and comprised some examples of it.

Let’s Start!

A 90 Degree Angle, 𝝅/2 radian, is the point that comes into form when one horizontal and one vertical line meet each other. When a 45 degree angle combines with its identical, then it will make a 90-degree angle half of a 180 measure.

A large number of objects in our daily lives have a right angle: stairs, door edges, the clock at 9:30, and wall corners. So, why waste time? Let’s begin with the construction guide!

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There are some preconceived notions about the right angle constructions, but you need geometrical instruments. Geometry instruments that you will need to construct a 90 Degree Angle are mentioned as follows:

• Pencil
• Ruler
• Compass
• Protractor

Here are some easy steps to construct the angle by using a Compass.

• Step 1- First, draw a straight line segment using a ruler. Then, it named its endpoints “A” and “B.”

• Step 2- Take point “A” as a centre and select any length as a radius. Then, draw an arc that cuts the line segment “AB” using a compass and label that cutting point with “C.” 

• Step 3- Now, take point “C” as a centre and open the compass to the same previous radius. Then, draw an arc cutting the previous arc and name that point “D.”

• Step 4- Follow the same procedure by taking “D” as a centre on the first arc. After that, label the point as “E.”

• Step 5- Now, draw two arcs that cut each other at a single point by taking “D” and “E” as a centre. Remember that all arcs would be drawn by taking the same radius. After that, label that point as “F.”

• Step 6- Now, draw a line segment from point ”A” to “F” and onward and label the other end as “G.”

Here, you can observe that the angle “GAB” is the right angle. This is the complete method of drawing a right angle using a compass.

Let’s see the steps to construct a 90 Degree Angle using a protractor.

• Step 1- Draw a line segment of any length and label its endpoints as “A” and “B.”

• Step 2- Here, place the midpoint of the protractor at point “A.”

• Step 3- Mark a point in the place of 90 Degrees and name the point as “C.”

• Step 4—Now, draw a line from point “A” to “C” and extend it according to requirements. Then, name the other end of the line “D.”

Finally, you have constructed the Angle “∠DAB.”

Here, I have mentioned some examples of 90-degree angle in our daily lives.

Every step of the stairs made an angle of 90 degrees. The corner of the stair made a right angle.

The edges of a door represent a good practical example of a right angle.

These are two methods of drawing a 90 Degree Angle by using a compass and a Proctator tool. In addition, I have mentioned some easy-to-understand examples of stairs and doors that make a perfect right angle.

Further, I have compiled a comprehensive guide on how to construct the right angle with two methods. Hopefully, you have got what you are seeking for hours on the Internet!