Tag: complementary angle, supplementary angles and adjcent angles

Quizzes (7) Questions (38)

Questions Related to complementary angle, supplementary angles and adjcent angles

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

Let the slope of the lines upon which the incident ray and line mirror lie are respectively $5$ and $3$, then the slope of the line upon which the reflected ray lies is 

  1. $1$
  2. $2$
  3. less than $2$
  4. more than $2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The law of reflection states that the angle of incidence equals the angle of reflection. Using the formula for the angle between lines with slopes m1 and m2, tan(theta) = |(m2-m1)/(1+m1m2)|. Setting the angle of the incident ray equal to the reflected ray relative to the mirror slope, the resulting slope is 1.

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

If the angle of a triangle are in the ratio of $2:3:4$, find the there angles 

  1. $40^{o}, 60^{o}, 80^{o}$
  2. $20^{o}, 40^{o}, 60^{o}$
  3. $30^{o}, 60^{o}, 90^{o}$
  4. $90^{o}, 180^{o}, 360^{o}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the angles of the triangle be $2x,3x, 4x$. 

Then
$2x+3x+4x=180^o$ [ Since sum of the interior angles of a triangle be $180^o$]
or, $9x=180^o$
or, $x=20^o$.
Then the angles of the triangle be $40^o, 60^o, 80^o$.

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

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

  1. 75$\displaystyle ^{\circ}$
  2. 65$\displaystyle ^{\circ}$
  3. 72$\displaystyle ^{\circ}$
  4. 100$\displaystyle ^{\circ}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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

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

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

  1. 12$\displaystyle ^{\circ}$ 20'
  2. 11$\displaystyle ^{\circ}$ 19'
  3. 14$\displaystyle ^{\circ}$ 25'
  4. 13$\displaystyle ^{\circ}$ 06'
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $=(-45-56.31)$
                                          $=11.31^0$