Tag: angles in our surroundings

Quizzes (6) Questions (10)

Questions Related to angles in our surroundings

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

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

  1. Acute angle

  2. Obtuse angle

  3. Straight angle

  4. Acute or obtuse angle
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

Sum of two obtuse angle results in:

  1. Acute angle

  2. Right angle

  3. Obtuse angle

  4. Reflex angle
Reveal answer Fill a bubble to check yourself
D Correct answer
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 $\displaystyle {360 }^{ o }$.

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

Which of the following is a reflex angle?

  1. $\displaystyle { 180 }^{ o }$
  2. $\displaystyle { 360 }^{ o }$
  3. $\displaystyle { 204 }^{ o }$
  4. $\displaystyle { 135 }^{ o }$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 $\displaystyle {360 }^{ o }$.

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

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:

  1. $45^\circ$
  2. $90^\circ$
  3. $60^\circ$
  4. $30^\circ$
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

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

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

  1. $60^\circ$
  2. $30^\circ$
  3. $45^\circ$
  4. $90^\circ$
Reveal answer Fill a bubble to check yourself
A Correct answer
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.