Tag: angle and its measurement

Questions Related to angle and its measurement

If two angles in a triangle are $ \displaystyle   75^{\circ} $ and $ \displaystyle  95^{\circ} $then the third angle is 

mathematics and statistics angle and its measurement directed angles

  1. $ \displaystyle 30^{\circ} $

  2. $ \displaystyle 40^{\circ} $

  3. $ \displaystyle 10^{\circ} $

  4. $ \displaystyle 90^{\circ} $

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Correct Option: C
Explanation:

$\displaystyle \because $ Sum of the angles in a triangle = $ \displaystyle  180^{\circ} $
i.e. $ \displaystyle 75^{\circ}+95^{\circ}+x=180^{\circ} $
$ \displaystyle \Rightarrow  x=10^{\circ} $

The two rays of an angles are called

mathematics and statistics angle and its measurement directed angles

  1. lines of the angle

  2. two sides of the angle

  3. two parts of the angle

  4. none

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Correct Option: B
Explanation:

Two rays of angles are called two sides of the angle..

An angle which is equal to $\displaystyle 360^{0}$ is called

mathematics and statistics angle and its measurement directed angles

  1. right angle

  2. Complete angle

  3. acute angle

  4. obtuse angle

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Correct Option: B
Explanation:

Complete angle = $\displaystyle 360^{0}$

The common end point of an angle is called

mathematics and statistics angle and its measurement directed angles

  1. vertex

  2. zero

  3. end point

  4. none

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Correct Option: A
Explanation:

The common end point of an angle is called a vertex..

Which of the following statements is correct?

mathematics and statistics angle and its measurement directed angles

  1. A triangle can have two right angles

  2. A triangle can have two obtuse angles

  3. A triangle can have all angles more than $60^{\circ}$

  4. A triangle can have two acute angles

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Correct Option: D
Explanation:

As the sum of angles of a triangle is 180 degree therefore first 3 options are ruled out & hence 4th is the answer.

The angle formed by the pages of an open book is?

mathematics and statistics angle and its measurement directed angles

  1. Acute

  2. Obtuse

  3. Right

  4. Straight

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Correct Option: B
Explanation:

The angle formed by the page of an open is obtuse .

Since the angle will always be more than $90$ but less than $180$.

Hence, 
The option $B$ is the correct answer.

Sumit constructed an angle of $90^o$ and trisected it. Measure of two angles taken together will be

mathematics and statistics angle and its measurement directed angles

  1. $20^o$

  2. $40^o$

  3. $60^o$

  4. None of these

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Correct Option: C
Explanation:

Trisecting an angle means dividing it in three equal parts.

So if we trisect $90^{\circ}$, we get $3$ equal angles  $30^{\circ}$ each.
On taking two angles together :  $30^{\circ}$+ $30^{\circ}$ =  $60^{\circ}$

The sum of the measures of angles at a point in degrees is

mathematics and statistics angle and its measurement directed angles

  1. $0^{\circ}$

  2. $90^{\circ}$

  3. $180^{\circ}$

  4. $360^{\circ}$

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Correct Option: D
Explanation:

Angle at a point completes one rotation, i.e. $360^{\circ}$

So, Option (D)

In $\Delta ABC$, O is the ethnocentric and $\angle BOC$ $=$ 2$\angle A,$ then the  measure of $\angle BOC$ is equal to

mathematics and statistics angle and its measurement directed angles

  1. $120^{\circ}$

  2. $100^{\circ}$

  3. $80^{\circ}$

  4. $60^{\circ}$

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Correct Option: A
Explanation:

Since, O is ethocentric,
$\angle BOC +\angle A = 180$
$3 \angle A = 180$
$\angle A = 60$

Therefore, $\angle BOC = 120^{\circ}$

The measure of exterior angle is $40^o$. Find number of side.

mathematics and statistics angle and its measurement directed angles

  1. $7$

  2. $8$

  3. $9$

  4. $10$

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Correct Option: C