Tag: types of angle

Questions Related to types of angle

Say True or False.
If $m\angle A=53^o$ and $m\angle B=35^o$, then $m\angle A > m\angle B$.

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

  1. True

  2. False

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Correct Option: A
Explanation:
$True$
$m \angle A=53^ \circ  \ and \ m \angle B=35^ \circ$
$\because 53 \ > \ 35$
$\therefore m \angle A> m \angle B$

An angle which measures $0^{\circ}$ is called

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

  1. Obtuse

  2. Straight

  3. Zero

  4. Right

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Correct Option: C
Explanation:

An angle which measures $ {0}^{o} $ is called zero angle.

A, B, C and D are four angles at a point so that $A+B+C+D=4$ rightangles, outof these A and B are acute angles while C and D are obtuse angles. Which of the following relations may be true?

  1. $A+B=C+D$
  2. $A+C=B+D$
  3. $A+D=B+C$

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

  1. 2 and 3 only

  2. 1 and 3 only

  3. 1 and 2 only

  4. 3 only

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Correct Option: A

An angle which measures $\displaystyle 0^{0}$ is called-

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

  1. Zero

  2. Obtuse

  3. Right

  4. None of these

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Correct Option: A
Explanation:

an angle which measures 0 degree is called a zero angle..

In a $\displaystyle \Delta PQR$ PQ = PR and $\displaystyle \angle Q$ is twice that of $\displaystyle \angle P$ Then $\displaystyle \angle Q$__

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

  1. 75$\displaystyle ^{\circ}$

  2. 65$\displaystyle ^{\circ}$

  3. 72$\displaystyle ^{\circ}$

  4. 100$\displaystyle ^{\circ}$

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Correct Option: C
Explanation:

$\displaystyle \because $ PQ = PR 
$\displaystyle \Rightarrow $ $\displaystyle \angle Q=\angle R$
Given that $\displaystyle \angle Q=2\angle P$
We have
$\displaystyle \angle P+\angle Q+\angle R=180^{\circ}$
$\displaystyle \frac{\angle Q}{2}+\angle Q+\angle Q=180^{\circ}$
$\displaystyle \frac{5}{2}\angle Q=180^{\circ}$
$\displaystyle \angle Q=72^{\circ}$        

Find the angle between the lines 3x + 2y = 6 and x + y = 6

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

  1. 12$\displaystyle ^{\circ}$ 20'

  2. 11$\displaystyle ^{\circ}$ 19'

  3. 14$\displaystyle ^{\circ}$ 25'

  4. 13$\displaystyle ^{\circ}$ 06'

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Correct Option: B
Explanation:

Line  $3x+2y=6$

$=>2y=-3x+6$
$=>y=\frac{-3}{2}x+\frac{6}{2}$
$=>m'=\frac{-3}{2}x$
$\therefore tan\theta _1=\frac{-3}{2}$
$=>\theta _1=tan^{-1}(\frac{-3}{2})$
$=>\theta _1=-56.31$
Line is $x+y=6$
$=>y=x+6$
$=>m _2=-1$
$=>tan\theta _2=-1$
$=>\theta _2=tan^{-1}(-1)$
$=>\theta _2=-45$
Thus, ale between them $=(-45-56.31)$
                                          $=11.31^0$

Find the complement of each of the following angles $24^{\circ}$

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

  1. $66^{\circ}$

  2. $156^{\circ}$

  3. $36^{\circ}$

  4. None of these

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Correct Option: A
Explanation:

We know that the complement angle

$=90^0-\theta$

So,
The complement angle of $24^0$ will be
$=90^0-24^0=66^0$ 

Hence, this is the answer.

Find the complement of each of the following angles
$63^{\circ}$

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

  1. $27^{\circ}$

  2. $54^{\circ}$

  3. $117^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

We know that the complement angle

$=90^0-\theta$

So,
The complement angle of $63^0$ will be
$=90^0-63^0=27^0$ 

Hence, this is the answer.

Find the angles in each of the following.
The angle whose complement is one sixth of its supplement

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

  1. $72^{\circ}$

  2. $32^{\circ}$

  3. $62^{\circ}$

  4. None of these

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Correct Option: A
Explanation:

Let the angle be $x^0$.


Supplement angle $=(180^0-x)$

Complement angle $=(90^0-x)$

According to the question,
$\dfrac{1}{6}\times (180^0-x)=(90^0-x)$

$(180^0-x)=6(90^0-x)$

$180^0-x=540^0-6x$

$5x=360^0$

$x=72^0$


Hence, this is the answer.

Find the angles in each of the following.
The angle which is four times its supplement

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

  1. $144^{\circ}$

  2. $44^{\circ}$

  3. $14^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

Let the angle be $x^0$.


According to the question,
Supplement angle $=(180^0-x)\times 4$

So,

$x=720^0-4x$

$5x=720^0$

$x=144^0$


Hence, this is the answer.