
Give three examples of angles from your environment.
Answer
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Hint: Here, we need to find three examples of angles from the environment. We will write some examples from the environment that form an angle lying between two rays and have a common vertex. We will also specify the type of angle formed.
Complete step by step solution:
An angle is a figure formed by two rays that have a common vertex.
For example: An angle \[\angle BAC\] is formed by the two rays \[\overrightarrow {AB} \] and \[\overrightarrow {AC} \], with the common vertex \[A\].
Angles can be classified into multiple types, depending on their measures.
They can be acute angle, right angle, or obtuse angle.
We will write a few examples of angles from the environment.
(1) The corner of a notebook forms an angle.
We can observe that the corner of a notebook is of measure 90 degrees.
Therefore, the corner of a notebook forms a right angle.
(2) A ladder leaning against a wall forms an angle.
We know that the ladder leans against a wall at an angle measuring less than 90 degrees.
Therefore, the ladder leaning against a wall forma an acute angle.
(3) A pair of scissors, when opened as much as possible, form an obtuse angle.
Note: We have used the terms acute angle, right angle, and obtuse angle.
An acute angle is an angle measuring between 0 degrees and 90 degrees, both excluded.
A right angle is an angle which exactly measures 90 degrees.
An obtuse angle is an angle measuring between 90 degrees and 180 degrees, both excluded.
There are four more angle types that can be classified.
An angle measuring 0 degrees is called a zero angle.
An angle measuring 180 degrees is called a straight angle.
An angle measuring between 180 degrees and 360 degrees is called a reflex angle.
An angle measuring 360 degrees is called a complete angle.
Complete step by step solution:
An angle is a figure formed by two rays that have a common vertex.
For example: An angle \[\angle BAC\] is formed by the two rays \[\overrightarrow {AB} \] and \[\overrightarrow {AC} \], with the common vertex \[A\].
Angles can be classified into multiple types, depending on their measures.
They can be acute angle, right angle, or obtuse angle.
We will write a few examples of angles from the environment.
(1) The corner of a notebook forms an angle.
We can observe that the corner of a notebook is of measure 90 degrees.
Therefore, the corner of a notebook forms a right angle.
(2) A ladder leaning against a wall forms an angle.
We know that the ladder leans against a wall at an angle measuring less than 90 degrees.
Therefore, the ladder leaning against a wall forma an acute angle.
(3) A pair of scissors, when opened as much as possible, form an obtuse angle.
Note: We have used the terms acute angle, right angle, and obtuse angle.
An acute angle is an angle measuring between 0 degrees and 90 degrees, both excluded.
A right angle is an angle which exactly measures 90 degrees.
An obtuse angle is an angle measuring between 90 degrees and 180 degrees, both excluded.
There are four more angle types that can be classified.
An angle measuring 0 degrees is called a zero angle.
An angle measuring 180 degrees is called a straight angle.
An angle measuring between 180 degrees and 360 degrees is called a reflex angle.
An angle measuring 360 degrees is called a complete angle.
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