Tag: identifying angles

Questions Related to identifying angles

Which of the following is obtuse angle?

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Two right angles

  2. One and half right angles

  3. One right angle

  4. Half a right angle

Show answer
Correct Option: B
Explanation:

Right angle $=90^{\circ}$

One and half right angle $=\dfrac { { 90 }^{ \circ  } }{ 2 } +{ 90 }^{ \circ  }={ 135 }^{ \circ  }$
which is greater than $90^{\circ}$
So it is an obtuse angle .
Option $B$ is correct.

Range of an obtuse angle is:

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. $[0˚, 90˚)$

  2. $(0˚, 90˚]$

  3. $[90˚, 180˚)$

  4. $(90˚, 180˚)$

Show answer
Correct Option: D
Explanation:

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 $\displaystyle {360 }^{ o }$.

At which one of the following times is the angle between the hands of the clock equal to one straight angle?

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. $12 : 00$

  2. $12 : 30$

  3. $8 : 43$

  4. $8 : 00$

Show answer
Correct Option: B
Explanation:

A straight angle can be formed when the hour and minute hands becomes $180^0$ and that happens at $12:30$

An angle which measures more than $90^o$ but less than $180^o$ is called ___________.

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. Acute

  2. Obtuse

  3. Right

  4. None of these

Show answer
Correct Option: B
Explanation:

An angle which measures more than $90^o$ but less than $180^o$ is called as an obtuse angle.

The measure of an acute angle is always $< 90^{o}$

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Acute angles are angles whose measurements fall between 0 and 90 degrees.

 $\therefore$ The above statement is true.

Mark the correct alternative of the following.
An angle of measure $140^o$ is?

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. An acute angle

  2. An obtuse angle

  3. A straight angle

  4. A complete angle

Show answer
Correct Option: B
Explanation:

An angle that measures $<180^o$ but $>90^o$ is called an obtuse angle.

Here it is given $140^o$, so it is an obtuse angle.

Mark the correct alternative of the following.
An angle of measure $180^o$ is called?

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. A zero angle

  2. A right angle

  3. A straight angle

  4. A reflex angle

Show answer
Correct Option: C
Explanation:

An angle of measure $180^o$ is called a straight  angle. [ Using definition of the straight angle]

Angle formed by straight angle is _____ .

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. $90^{\circ}$

  2. $180^{\circ}$

  3. $60^{\circ}$

  4. $45^{\circ}$

Show answer
Correct Option: B
Explanation:

Angle formed by straight angle $=180^o$

Measure of an obtuse angle is

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. $>\, 0^{\circ},\, <\, 90^{\circ}$

  2. $>\, 90^{\circ},\, <\, 180^{\circ}$

  3. $>\, 0^{\circ},\, <\, 270^{\circ}$

  4. $>\, 0^{\circ},\, <\, 180^{\circ}$

Show answer
Correct Option: B
Explanation:

Measure of obtuse angle

$90^o<x<180^o [>90^o, < 180^o]$

An angle which measures more than $\displaystyle 0^{o}$ and less than $\displaystyle 90^{o}$ is called:

maths construction of angles identifying angles acute and obtuse angles types of angle

  1. obtuse

  2. acute

  3. right

  4. none

Show answer
Correct Option: B
Explanation:

An angle which measure more than $0^o$ and less than $90^o$ is an acute angle.

An angle which measure more than $90^o$ and less than $180^o$ is an obtuse angle.
Hence, the answer is acute.