Tag: types of angle

Questions Related to types of angle

Find the angles in each of the following.
The angles whose supplement is four times its complement

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

  1. $60^{\circ}$

  2. $30^{\circ}$

  3. $120^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

Let the angle be $x^0$.


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

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

According to the question,
$180^0-x=4(90^0-x)$

$180^0-x=360^0-4x$

$3x=180^0$

$x=60^0$


Hence, this is the answer.

Find the supplement of each of the following angles.
$148^{\circ}$

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

  1. $32^{\circ}$

  2. $122^{\circ}$

  3. $148^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

We know that the supplement angle

$=180^0-\theta$

So,
The supplement angle of $148^0$ will be
$=180^0-148^0=32^0$ 

Hence, this is the answer.

Find the supplement of each of the following angles.
$120^{\circ}$

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

  1. $60^{\circ}$

  2. $150^{\circ}$

  3. $20^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

We know that the supplement angle

$=180^0-\theta$

So,
The supplement angle of $120^0$ will be
$=180^0-120^0=60^0$ 

Hence, this is the answer.

Find the complement of each of the following angles $35^{\circ}$

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

  1. $55^{\circ}$

  2. $145^{\circ}$

  3. $35^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

We know that the complement angle

$=90^0-\theta$

So,
The complement angle of $35^0$ will be
$=90^0-35^0=55^0$ 

Hence, this is the answer.

Find the supplement of the given angle.
$100^{\circ}$

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

  1. $80^{\circ}$

  2. $40^{\circ}$

  3. $30^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

We know that the sum of the supplement angles

$=180^0$

So,
The supplement angle of $100^0$ will be
$=180^0-100^0=80^0$ 

Hence, this is the answer.

Find the complement of each of the following angles $20^{\circ}$

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

  1. $70^{\circ}$

  2. $60^{\circ}$

  3. $110^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

We know that the complement angle

$=90^0-\theta$

So,
The complement angle of $20^0$ will be
$=90^0-20^0=70^0$ 

Hence, this is the answer.

Find the angles in each of the following.
The angle which is two times its complement

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

  1. $60^{\circ}$

  2. $120^{\circ}$

  3. $30^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

Let the angle be $x^0$.


According to the question,
Complement angle $=(90^0-x)\times 2$

So,

$x=180^0-2x$

$3x=180^0$

$x=60^0$


Hence, this is the answer.

Find the complement of each of the following angles $48^{\circ}$

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

  1. $42^{\circ}$

  2. $52^{\circ}$

  3. $132^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

We know that the complement angle

$=90^0-\theta$

So,
The complement angle of $48^0$ will be
$=90^0-48^0=42^0$ 

Hence, this is the answer.

Find the angles in each of the following.
Two complementary angles are in the ratio $3 : 2$

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

  1. $54^{\circ}, 36^{\circ}$

  2. $44^{\circ}, 36^{\circ}$

  3. $54^{\circ}, 46^{\circ}$

  4. None of these

Show answer
Correct Option: A
Explanation:

Let the angles be $3x$ and $2x$.


So,
$3x+2x=90^0$

$5x=90^0$

$x=18^0$

Therefore, the angle are
$54^0, 36^0$


Hence, this is the answer.

If $\angle A$ is complement to $30^o$ and $\angle B $ is supplement to $120^o$ then:

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

  1. $\angle A > \angle B$

  2. $\angle A < \angle B$

  3. Incomparable

  4. $\angle A = \angle B$

Show answer
Correct Option: D
Explanation:

Sum of complementary angles is $90^{\circ}$

$\Rightarrow \angle A+{ 30 }^{ \circ  }={ 90 }^{ \circ  }\ \Rightarrow \angle A={ 60 }^{ \circ  }$
Sum of supplementary angles is $180^{\circ}$
$\Rightarrow \angle B+{ 120 }^{ \circ  }={ 180 }^{ \circ  }\ \Rightarrow \angle B={ 60 }^{ \circ  }$
$\Rightarrow \angle A=\angle B$