The supplement of an angle is one third of the given angle. Find the measures of the given angle and its supplement.
in Mathematics
31 views
1 Vote
1 Vote
The supplement of an angle is one third of the given angle. Find the measures of the given angle and its supplement.
in Mathematics
by
7.2k Points

1 Answer

1 Vote
1 Vote
 
Best Answer

Solution

Let the measure of the given angle be $x^{\circ}$.

Then, the measure of its supplement $=(180-x)^{\circ}$.

$\therefore 180-x=\frac{1}{3} x \Rightarrow 3(180-x)=x$

$\Rightarrow 540-3 x=x$

$\Rightarrow 4 x=540 \Rightarrow x=135$.

Hence, the measure of the given angle is $135^{\circ}$ and the measure of its supplement is $(180-135)^{\circ}=45^{\circ}$.

by
7.2k Points

Related Questions

2 Votes
2 Votes
1 Answer 17 Views
3 Votes
3 Votes
1 Answer 18 Views

Welcome To Informesia

Informesia Helps You To Prepare India's All States Board Exams (CBSE, ICSE, UP Board, BSEB, HPBOSE, RBSE, MSBSHSE) and Competitive Exam Like JEE (Main + Advanced), AIIMS, NEET, KVPY, NTSE, BITSAT, Olympiad, CLAT...etc.
For Any Query or Suggestion, Please Contact us on :
[email protected]

Connect us on Social Media