Tag: measurement of an angle

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Questions Related to measurement of an angle

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

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 

  1. $1$
  2. $2$
  3. less than $2$
  4. more than $2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The law of reflection states that the angle of incidence equals the angle of reflection. Using the formula for the angle between lines with slopes m1 and m2, tan(theta) = |(m2-m1)/(1+m1m2)|. Setting the angle of the incident ray equal to the reflected ray relative to the mirror slope, the resulting slope is 1.

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

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

  1. $40^{o}, 60^{o}, 80^{o}$
  2. $20^{o}, 40^{o}, 60^{o}$
  3. $30^{o}, 60^{o}, 90^{o}$
  4. $90^{o}, 180^{o}, 360^{o}$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $40^o, 60^o, 80^o$.