90 Degree Angle - Measurement, Construction, Examples (2024)

A 90-degree angle is a right angle. If the value of the angle between the horizontal and vertical lines is exactly equal to 90 degrees, then the angle is called a 90-degree angle. Some of the real-life examples of a 90-degree angle are the angle between the hands of a clock at 3 o'clock or 9 o'clock, angles between two adjacent edges of a rectangular door or window, etc.

1.What is a 90 Degree Angle?
2.How to Draw 90 Degree Angle?
3.FAQs on 90 Degree Angle

What is 90 Degree Angle?

A 90-degree angle is a right angle and it is exactly half of a straight angle. It always corresponds to a quarter turn. Rectangle and square are the basic geometric shapes that have a measurement of all four angles as 90 degrees. When two lines intersect each other and the angle between them is 90 degrees then the lines are said to be perpendicular.

Look the image given below shows what a 90-degree angle looks like. Angle DAB is a 90-degree angle. It is formed by a ray AB with its perpendicular ray DA.

90 Degree Angle - Measurement, Construction, Examples (1)

How to Draw 90 Degree Angle?

The 90-degree angle can be drawn by using a protractor and compass.

Constructing 90-Degree Angle Using a Protractor

Follow the given steps to construct a 90-degree angle using a protractor:

  • Step 1: Draw a ray OA.
  • Step 2: Place the center of the protractor at point O.
  • Step 3: In the outer or the inner circle of the protractor, look for 90° reading and with a pencil mark a dot and name it C.
  • Step 4: Join O and C. You will observe the vertical line OC and horizontal line OA are perpendicular to each other and meeting at a common point O. Thus, ∠AOC = 90-degree angle.

90 Degree Angle - Measurement, Construction, Examples (2)

Constructing 90-Degree Angle Using a Compass

Follow the given steps to construct a 90-degree angle using a compass.

  • Step 1: Draw a ray AB with help of a ruler.
  • Step 2: Put the tip of the compass at A and draw an arc that cuts ray AB and mark that cut point as C.
  • Step 3: Put the compass tip at C and draw an arc of radius AC that cuts the arc drawn in step 2 and mark that cut point as D.
  • Step 4: With the compass tip at D, draw an arc of radius AC using a compass to cut the arc drawn in Step 2 and mark that cut point as E.
  • Step 5: With the tip at D, draw another arc using the same radius AC between points D and E.
  • Step 6: With the tip at E, draw another arc using the same radius AC to cut the arc drawn in step 5 and mark that cut point as F.
  • Step 7: Join F and A. The angle FAB is a 90-degree angle.

90 Degree Angle - Measurement, Construction, Examples (3)

Important Notes:

  • The 90-degree angle is also called a right angle.
  • A 90-degree angle can be constructed with a protractor or a compass.

► Related Articles

Check out these interesting articles to learn more about the 90-degree angle and its related topics.

  • 60 Degree Angle
  • 45 Degree Angle
  • 270 Degree Angle
  • 30 Degree Angle

FAQs on 90 Degree Angle

What are the Examples of a 90-Degree Angle in Real Life?

In real life, we can see a 90-degree angle in our surroundings such as the corners of a room, corners of a window, the screen of a mobile phone or laptop, etc. Each of the interior angles of any square or rectangle shape object is equal to 90 degrees.

How do you Define a 90 Degree Angle?

A 90-degree angle is defined as the angle made by one horizontal line and one vertical line at a common point and the measurement of the angle between those two lines is exactly equal to 90 degrees.

Is a 90 Degree Angle Only Right-Angle?

Yes, a 90-degree angle is also known as a right angle. It can never be compared to an acute angle or an obtuse angle because any angle less than 90 degrees is an acute angle and greater than 90 degrees can be obtuse, straight, or a complete angle.

What is a 90 Degree Angle for Kids?

Kids can correlate the alphabet L with the 90-degree angle. The 90-degree angle is formed between the leg and arm of the alphabet L.

How Many 90 Degree Angles are there in a Triangle?

The triangle can have one 90 degree angle and two acute angles (angles less than 90 degrees). The sum of all the angles of a triangle is equal to 180 degrees. Therefore, only one angle can be 90 degrees. The triangle, having a 90-degree angle, is known as a right-angled triangle.

How Many 90 Degree Angles are there in a Straight Angle?

There are two 90 degrees angles in a 180-degree angle or straight angle. As the sum of two 90 degree angles is equal to 180 degrees, also the half of 180 degrees is 90 degrees. Thus twice 90-degree angles are there in a straight angle.

Which Tool is Easy to Draw a 90 Degree Angle?

A protractor is a measuring instrument that can be used to draw a 90-degree angle and can be used for measuring other angles as well. Apart from that, a compass can also be used to construct an angle of 90 degrees.

Does a Rectangle have a 90 Degree Angle?

A rectangle is a geometric shape with four sides and all its four interior angles are equal to 90 degrees each. Because according to the properties of a rectangle, all the angles are equal and measures 90 degrees.

Do All Squares have Four 90 Degree Angle?

According to the properties of the square, all sides are equal and all angles are equal. As the sum of all angles is equal to 360 degrees, therefore, each angle of the square is 360 degrees ÷ 4 = 90-degree angle. Thus, all angles of a square are 90 degree angles.

90 Degree Angle - Measurement, Construction, Examples (2024)

FAQs

90 Degree Angle - Measurement, Construction, Examples? ›

We can see many real-life examples of the right angles in our daily life. For example, the corner of a book, edges of the cardboard, etc. Any shape that is a square or a rectangle, will have its corners equal to 90 degrees or right angle. A right angle is hence called a 90-degree angle.

What is a real life example of a 90-degree angle? ›

We can see many real-life examples of the right angles in our daily life. For example, the corner of a book, edges of the cardboard, etc. Any shape that is a square or a rectangle, will have its corners equal to 90 degrees or right angle. A right angle is hence called a 90-degree angle.

How to lay out a 90-degree angle? ›

How to Lay Out Right Angles in Construction
  1. Measure 3 feet out from the angle you want to make 90° in one direction.
  2. Measure 4 feet out from the angle you want to make 90° in the other direction.
  3. Measure across the two points and adjust the angle until the distance on the third side of the triangle is 5 feet.
Oct 7, 2023

What is the formula for 90-degree angle example? ›

With a bit of mathematical ability, this formula (a^2 + b^2 = c^2) can be manipulated and used to determine a right angle. Using a ruler, measure the sides of the angle as well as the distance between the angle's open endpoints. If these values plug into the formula correctly, then the angle is a 90-degree angle.

How do you measure angles in construction? ›

Protractors. To measure an angle with a protractor, first align the base of the protractor with one side of the angle. Next, align the arm of the protractor with the other side of the angle. The degree markings on the protractor will now indicate the angle.

What does a 90-degree angle look like? ›

The term "right angle" originates from the Latin word "angulus rectus," which means upright or perpendicular. A right angle is formed when two lines intersect and create an angle of 90 degrees. This intersection results in two lines being perpendicular to each other, forming a perfect L-shape.

How to check if a corner is 90 degrees? ›

Line up your tape measure between the 2 marks. If the distance is 5 units, your corner is square! If the distance is less than 5 units, your corner is less than 90º. If the distance is over 5 units, your corner has a measurement of more than 90º.

What is the 3 4 5 rule in construction? ›

To get a perfectly square corner, you want to aim for a measurement ratio of 3:4:5. In other words, you want a three-foot length on your straight line, a four-foot length on your perpendicular line, and a five-foot length across. If all three measurements are correct, you'll have a perfectly square corner.

How to measure right angles in construction? ›

building layouts, measure 4′ along one side and 3′ along the other. If it is a right angle, the hypotenuse will measure 5′. It's the “3-4-5” rule.

How do you construct a 90-degree angle? ›

To construct a 90 degree angle:
  1. Draw a straight line and mark a point (A).
  2. Set your compass on A, draw an arc intersecting the line at two points (B and C).
  3. With the compass still set, draw arcs from B and C above the line.
  4. Connect A to the intersection of these arcs. This line forms a 90-degree angle with the original.
Jul 17, 2024

What is the 90 degree theorem? ›

Theorem: In a right-angled triangle, if the sum of the square of two sides is equal to the square of one side, then the right angle is the angle that is opposite to the first side. Proof of right-angle triangle. To prove ∠Q = 90.

Which tool can be used to draw a 90-degree angle? ›

The correct option is A Protractor

Which instrument is used to draw a 90 degree angle?

What method can be used to create a 90-degree angle? ›

The construction of an angle of 90 degrees can be done in two ways - by using a compass and by using a protractor. Making a rough sketch is different from that of construction in geometry. In geometry, by construction, we mean drawing shapes, lines, angles with more accurate measurements.

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