Tag: angle and its measurement

Quizzes (5) Questions (46)

Questions Related to angle and its measurement

Multiple choice mathematics and statistics angle and its measurement directed angles

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

  1. $ \displaystyle 30^{\circ} $
  2. $ \displaystyle 40^{\circ} $
  3. $ \displaystyle 10^{\circ} $
  4. $ \displaystyle 90^{\circ} $
Reveal answer Fill a bubble to check yourself
C Correct answer
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} $

Multiple choice mathematics and statistics angle and its measurement directed angles

Which of the following statements is correct?

  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
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

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

Multiple choice mathematics and statistics angle and its measurement directed angles

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

  1. Acute

  2. Obtuse

  3. Right

  4. Straight
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

Multiple choice mathematics and statistics angle and its measurement directed angles

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

  1. $20^o$
  2. $40^o$
  3. $60^o$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
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 :  $30^{\circ}$+ $30^{\circ}$ =  $60^{\circ}$

Multiple choice mathematics and statistics angle and its measurement directed angles

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

  1. $120^{\circ}$
  2. $100^{\circ}$
  3. $80^{\circ}$
  4. $60^{\circ}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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

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

Multiple choice mathematics and statistics angle and its measurement directed angles

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

  1. $7$
  2. $8$
  3. $9$
  4. $10$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The sum of exterior angles of any convex polygon is 360 degrees. For a regular polygon, each exterior angle is 360/n. Here, 360/n = 40, so n = 360/40 = 9.