A right angle, also known as a 90-degree angle, is defined as an angle that measures exactly 90°. It is formed when two straight lines that are perpendicular to each other intersect at a point. A right angle is represented by the symbol ∟.
Right 90 Degree Angle
A few more right angles are shown below:
Examples of Right Angle
How to Make a Right Angle
See the video below to learn the steps you should follow while drawing a 90° angle with the help of a compass. Note that no protractor is used in any step of the process.
Right Angles in Real Life
Geometric shapes such as square and rectangle have four right angles, a right trapezoid has two right angles, whereas a right angle triangle has one of its angle that is a right angle
The two diagonals of some quadrilaterals such as a square, rhombus, or a kite intersect each other to form a right angle
The angle formed by the hands of a clock showing 3’o clock and 9’ o clock
Corners of square or rectangle-shaped swimming pools
Corners of a paper, textbook, newspaper, and magazines
Corners of a chessboard, table tennis board, ludo board, and billiard table
Corners of a laptop and TV screen
Corners of doors, windows, mirrors, and dinner table
Corners of a Crossroad
Corners of rooms in our homes, school, and offices
The angle formed when a person is walking in relation to the ground
Corners of each step of a staircase\
Which of the following options given in the clock timing represents a right angle?
Solution:
As we know, Right angles are angles that measure 90° Hence, options (a) and (b) are right angles.
Find the missing angle x in the given triangle and state whether it is a right angle triangle
Solution:
As we know, The sum of the interior angles in a triangle is 180°, Thus, In △ABC, ∠ABC + ∠BCA + ∠CAB = 180°, here ∠CAB = 45°, ∠BCA = 45° ∠ABC + 45° + 45° = 180° ∠ABC = 180° – (45° + 45°) ∠ABC = (x°) = 90° Since ∠ABC is 90°, △ABC is a right angle triangle
Identify the right angles in the given quadrilateral ABCD. Given that ∠DAB and ∠ABC are equal.
Solution:
As we know, Sum of angles in a quadrilateral = 360° Thus, ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°, here, ∠BCD = 70°, ∠CDA = 110° ∠ABC + 70° + 110° + ∠DAB = 360° ∠ABC +∠DAB = 360° – (70° + 110°) ∠ABC +∠DAB = 180° Now, since ∠ABC = ∠DAB, 2∠ABC = 180° ∠ABC = 90° Also, ∠DAB = 90° Thus, in the given trapezoid ∠ABC and ∠DAB are right angles. Also the quadrilateral ABCD is a right trapezoid.
FAQs
Q1. Does a rhombus have right angles?
Ans. Yes, for example a rhombus with four right angles is a square.
Q2. Does a parallelogram have right angles?
Ans. Yes, a parallelogram can have right angles as found in a square or a rectangle.
Q3. Does a trapezoid have right angles?
Ans. Yes, right trapezoid have right angles in them.
Q4. How many right angles does a square have?
Ans. A square has four right angles.
Q5. Do all quadrilaterals have right angles?
Ans. No, all quadrilaterals for example a kite does not have right angles.
Q6. How many right angles does a pentagon have?
Ans. A pentagon can have a maximum of three right angles.
Q7. Can a triangle have two right angles?
Ans. No, a triangle cannot have two right angles because the sum of the three angles in a triangle is 180°. If there are two right angles the measure of the third angles will be 0°, which is impossible.
Which of the following options given in the clock timing represents a right angle?
Find the missing angle x in the given triangle and state whether it is a right angle triangle
Identify the right angles in the given quadrilateral ABCD. Given that ∠DAB and ∠ABC are equal.