Tag: angles in our surroundings

Questions Related to angles in our surroundings

Say True or False.
The measure of a reflex angle $> 180^o$.

maths acute and obtuse angles types of angle measurement of an angle angles in our surroundings

  1. True

  2. False

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Correct Option: A
Explanation:
According to defition , reflex angle is the angle which are greater than $180^o$ and less than $360^o$.
So,the statement is true

An angle which is more than $180^{\circ}$ and less than $360^{\circ}$ is called:

maths acute and obtuse angles types of angle measurement of an angle angles in our surroundings

  1. obtuse angle

  2. right angle

  3. reflex angle

  4. complete angle

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Correct Option: C
Explanation:

An angle which is more than 180∘180∘ and less than 360∘360∘ is called reflex angle.

So option $C$ is correct.

An angle which is more than  $\displaystyle 180^{0}$ and less than $\displaystyle 360^{0}$ is called

maths acute and obtuse angles types of angle measurement of an angle angles in our surroundings

  1. Obtuse angle

  2. right angle

  3. reflex angle

  4. complete angle

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Correct Option: C
Explanation:

An angle which is more than  $\displaystyle 180^{0}$ and less than $\displaystyle 360^{0}$ is called reflex angle.


If one angle at a point is reflex angle, the other at that point may be :

maths acute and obtuse angles types of angle measurement of an angle angles in our surroundings

  1. Acute angle

  2. Obtuse angle

  3. Straight angle

  4. Acute or obtuse angle

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Correct Option: D
Explanation:

Angle formed at a point is $\displaystyle { 360 }^{ o }$. 

When one of angle is reflex it range from $\displaystyle { 180 }^{ o }$ to $\displaystyle { 360 }^{ o }$. 
If angle is $\displaystyle { 200 }^{ o }$ then the other angle is $\displaystyle { 160 }^{ o }$, i.e obtuse angle. 
If one reflex angle is $\displaystyle { 300 }^{ o }$ then other angle is $\displaystyle { 60 }^{ o }$ i.e acute angle.

Sum of two obtuse angle results in:

maths acute and obtuse angles types of angle measurement of an angle angles in our surroundings

  1. Acute angle

  2. Right angle

  3. Obtuse angle

  4. Reflex angle

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Correct Option: D
Explanation:

Obtuse angle ranges from $\displaystyle { 90 }^{ o }$ to $\displaystyle { 180 }^{ o }$
So, sum of least obtuse angle is $\displaystyle { 91 }^{ o }+{ 91 }^{ o }={ 182 }^{ o }$ which is a reflex angle.
Sum of maximum obtuse angle is $\displaystyle { 179 }^{ o }+{ 179 }^{ o }={ 358 }^{ o }$ which is a reflex angle.

Acute angle is the angle which is greater than $\displaystyle { 0 }^{ o }$ and less than $\displaystyle { 90 }^{ o }$.

Obtuse angle is the angle which is greater than $\displaystyle { 90}^{ o }$ and less than $\displaystyle {180 }^{ o }$.
Right angle is the angle which is equal to $90^o$.
Reflex angle is the angle which is greater than $\displaystyle {180}^{ o }$ and less than $\displaystyle {360 }^{ o }$.

Which of the following is a reflex angle?

maths acute and obtuse angles types of angle measurement of an angle angles in our surroundings

  1. $\displaystyle { 180 }^{ o }$

  2. $\displaystyle { 360 }^{ o }$

  3. $\displaystyle { 204 }^{ o }$

  4. $\displaystyle { 135 }^{ o }$

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Correct Option: C
Explanation:

Reflex angle must be between $\displaystyle { 180 }^{ o }$ and $\displaystyle { 360 }^{ o }$. It can't be equal to $\displaystyle { 180 }^{ o }$ or $\displaystyle { 360 }^{ o }$ as these are straight and complete angle respectively.

Acute angle is the angle which is greater than $\displaystyle { 0 }^{ o }$ and less than $\displaystyle { 90 }^{ o }$.

Obtuse angle is the angle which is greater than $\displaystyle { 90}^{ o }$ and less than $\displaystyle {180 }^{ o }$.
Right angle is the angle which is equal to $90^o$.
Reflex angle is the angle which is greater than $\displaystyle {180}^{ o }$ and less than $\displaystyle {360 }^{ o }$.

Mark the correct alternative of the following.
A reflex angle measures.

maths acute and obtuse angles types of angle measurement of an angle angles in our surroundings

  1. More than $90^o$ but less than $180^o$

  2. More than $180^o$ but less than $270^o$

  3. More than $180^o$ but less than $360^o$

  4. None of these

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Correct Option: C
Explanation:

An angle is said to be a reflex angle if it measures more than $180^o$ but less that $360^o$.

Angles are measured in

maths angles in our surroundings measuring and drawing angles angles in a clock checking angles between hands of a clock

  1. compasses

  2. protractor

  3. degrees

  4. centimetres

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Correct Option: C
Explanation:

Angles are measured in degrees

A circular paper is divided into $4$ equal parts by cutting it through two diameters. Then the central angle of each part is equal to:

maths angles in our surroundings measuring and drawing angles angles in a clock checking angles between hands of a clock

  1. $45^\circ$

  2. $90^\circ$

  3. $60^\circ$

  4. $30^\circ$

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Correct Option: B
Explanation:

Central angle $=360^{\circ}$

Now circular piece of paper is divided in four equal parts .
Let measure of central angle $=x$
$\ \Rightarrow x+x+x+x={ 360 }^{ \circ  }\ \Rightarrow 4x={ 360 }^{ \circ  }\ \Rightarrow x=\dfrac { { 360 }^{ \circ  } }{ 4 } \ \Rightarrow x={ 90 }^{ \circ  }$
So option $B$ is correct.

The central angle of a part of a circle which is divided into $6$ equal parts is:

maths angles in our surroundings measuring and drawing angles angles in a clock checking angles between hands of a clock

  1. $60^\circ$

  2. $30^\circ$

  3. $45^\circ$

  4. $90^\circ$

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Correct Option: A
Explanation:

Central angle $=360^{\circ}$

Now park is divided in four equal parts.

Let measure of central angle $=x$
$\ \Rightarrow x+x+x+x+x+x={ 360 }^{ \circ  }\ \Rightarrow 6x={ 360 }^{ \circ  }\ \Rightarrow x=\dfrac { { 360 }^{ \circ  } }{ 6 } \ \Rightarrow x={ 60 }^{ \circ  }$

So option $A$ is correct.