Mathematics

Find x; if $\angle\, 1\, =\, 5x\, +\, 15^{\circ}$ and $\angle\, 2\, =\, 28x$, angles form linear pair.

$5^{\circ}$

SOLUTION
$\angle \, 1\, +\, \angle\, 2\, =\, 180^{\circ}$ (Linear pair)
$\Rightarrow\quad 5x\, +\, 15^{\circ}\, +\, 28x\, =\, 180^{\circ}$
$\Rightarrow\quad 33x\, =\, 180^{\circ}\, -\, 15\, =\, 165^{\circ}$
$\Rightarrow\quad x\, =\, \displaystyle \frac {165^{\circ}}{33}\, =\, 5^{\circ}$.

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Subjective Medium
Two lines $AB$ and $CD$ intersect at $O$. If $\angle AOC={50}^{o}$, find $\angle AOD, \angle BOD$ and $\angle BOC$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q3 Single Correct Medium
The complement of $(90^\circ-a)$ is :
• A. -a
• B. $(90^\circ+a)$
• C. $(90^\circ-a)$
• D. a

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Medium
In the figure given above, $l\parallel m$ and $p\parallel q$. Find the values of $x, y$ and $z$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q5 Subjective Medium
From the adjoining figure find $x$,  i $AOB$ is a straight line. Hence complete the following
Which is an acute angle?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020