Tag: identifying angles

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Questions Related to identifying angles

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

What is the acute angle between the lines y = 3x + 2 and y = 4x + 9?

  1. 4.4$\displaystyle ^{\circ}$
  2. 28.3$\displaystyle ^{\circ}$
  3. 5.2$\displaystyle ^{\circ}$
  4. 18.6$\displaystyle ^{\circ}$

  5. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$y=3x+2$

$m _1=3$
$=>tan\theta _1=3$
$=>\theta _1=tan^{-1}(3)$
$=>\theta _1=71.57^{0}$
Again,
$y=4x+9$
$=>m _2=4$
$=>tan\theta _2=4$
$=>\theta _2=tan^{1}(4)$
$=>\theta _2=75.96^{0}$
$\therefore$ Angle between the lines
$=\theta _2-\theta _1$
$=75.96-71.56$
$=4.4^{0}$

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

An angle that is $\displaystyle  { 1 }^{ o }$ less than right angle is:

  1. Reflex angle

  2. Straight angle

  3. Obtuse angle

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

Right angle measures $\displaystyle  { 90 }^{ o }$
$\displaystyle  { 1 }^{ o }$ less of right angle = $\displaystyle { 90 }^{ o }-{ 1 }^{ o }$
$\displaystyle { 89 }^{ o }$
Which is an acute 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 construction of angles identifying angles acute and obtuse angles types of angle

If the angle is greater than $\displaystyle { 0 }^{ o }$ and less than $\displaystyle { 90 }^{ o }$, then the angle is known as:

  1. Obtuse angle

  2. Right angle

  3. Acute angle

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

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

The sum of two acute angles can be:

  1. Acute angles

  2. Obtuse angles

  3. Right angles

  4. All of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let one angle is $\displaystyle { 30 }^{ o }$ and the other angle is $\displaystyle { 40 }^{ o }$ then sum $\displaystyle { 70 }^{ o }$. which is an acute angle.
Let one angle be $\displaystyle { 70 }^{ o }$ and other angle is $\displaystyle { 80 }^{ o }$, then sum is $\displaystyle { 150 }^{ o }$ which is obtuse angle.
Let one angle is $\displaystyle { 45 }^{ o }$ and another angle is $\displaystyle { 45 }^{ o }$ then sum is $\displaystyle { 90 }^{ o }$ which is right angle.