Tag: acute and obtuse angles

Questions Related to acute and obtuse angles

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

Show answer
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. $\displaystyle { 135 }^{ o }$

Show answer
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

Show answer
Correct Option: C
Explanation:

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

Let the slope of the lines upon which the incident ray and line mirror lie are respectively $5$ and $3$, then the slope of the line upon which the reflected ray lies is 

maths complementary angle, supplementary angles and adjcent angles acute and obtuse angles types of angle measurement of an angle

  1. $1$

  2. $2$

  3. less than $2$

  4. more than $2$

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Correct Option: A

If the angle of a triangle are in the ratio of $2:3:4$, find the there angles 

maths complementary angle, supplementary angles and adjcent angles acute and obtuse angles types of angle measurement of an angle

  1. $40^{o}, 60^{o}, 80^{o}$

  2. $20^{o}, 40^{o}, 60^{o}$

  3. $30^{o}, 60^{o}, 90^{o}$

  4. $90^{o}, 180^{o}, 360^{o}$

Show answer
Correct Option: A
Explanation:

Let the angles of the triangle be $2x,3x, 4x$. 

Then
$2x+3x+4x=180^o$ [ Since sum of the interior angles of a triangle be $180^o$]
or, $9x=180^o$
or, $x=20^o$.
Then the angles of the triangle be $40^o, 60^o, 80^o$.

Say True or False.
The measure of an acute angle $< 90^o$.

maths complementary angle, supplementary angles and adjcent angles acute and obtuse angles types of angle measurement of an angle

  1. True

  2. False

Show answer
Correct Option: A
Explanation:
By definition acute angle is the angle which are less than $90^o$.
So, the above statement is true