Right Angle

In geometry, when two rays meet each other at a common point, they form an angle. The point of meeting of the two rays is known as the vertex.

Angles are measured in degrees (symbol: °)

Some common types of angles are acute angles, right angles, and obtuse angles.

When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle. A right angle is represented by the symbol ∟.

The given image shows various formations of the right angle.

We can find the right angles in shapes.

A square or rectangle has four corners with right angles.

Examples of right angles are all around us. We can see right angles in the corners of a room, book, cube, windows and at several other places.

A vertical and a horizontal line makes the most common right angles. However, diagonal lines intersecting each other also form right angles. If you draw the diagonals of a square, a rhombus or a kite, the angle at the intersection is 90 degrees and is, therefore, a right angle.

Angle at the intersection is 90 degrees.

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Draw Angles Using a Protractor Game

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How to Draw a Right Angle Using A Protractor?

Start by drawing a horizontal line.

Step 1 to draw a right angle using protractor

Now place the protractor on the horizontal line.

Step 2 to draw a right angle using protractor : Protractor on the horizontal line

Measure 90˚ and mark it with a point.

Step 3 to draw a right angle using protractor : Measure 90˚

Now using a scale, draw a straight line from this point to the horizontal line.

Step 4 to draw a right angle using protractor : draw a straight line from this point to the horizontal line

Related Worksheets

$Count Sides and Angles Worksheet$

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$Rectangles and Triangles Worksheet$

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$Separate Out the Triangles Worksheet$

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Fun Facts

All right angles are the same.
All right angles correspond to a quarter of a complete turn.
All triangles with one angle right are called right-angled triangles.

Solved Examples

Find the number of right angles in the figure shown below.

Solution: The above figure is a rectangle. The number of right angles in the above figure is 4. Each side in the figure meets the adjacent side at 90°.

If the two lines PQ and RS are perpendicular, what is the measure of ∠SOT?

Measure of ∠SOT? when pq and rs are perpendicular

Solution:

Since, line PQ ⟂ line RS, m∠SOQ=90°

Moreover, m∠SOQ=m∠QOT+m∠SOT

90°=30°+m∠SOT

Therefore, m∠SOT=90°-30°=60°

How many right angles are there in the given figure?

Solution:

The given figure shows 3 right angles and 2 obtuse angles.

Practice Problems

How many right angles are there in a square?

CorrectIncorrect

Correct answer is: 4
Explanation: A square contains 4 angles, and all of them measure 90°.

How many right angles are present in the given figure?

$Right Angle – Definition with Examples$

CorrectIncorrect

Correct answer is: 2
Explanation: The given figure shows a quadrilateral with two right angles.

A right-angled triangle has one angle measuring 90°. What is the sum of the measures of the other two angles?

$\lt$ 90°

$\gt$ 90°

= 90°

$\gt$ 180°

CorrectIncorrect

Correct answer is: = 90°
Explanation: The three interior angles of any triangle add up to 180°. Since one of the interior angle in a right-angled triangle is 90°, the other two interior angles must add up to 90°.