Mathematics

Two supplementary angles differ by $34^o$. Then the angles are __________.

$107^o, 73^o$

SOLUTION
Let two supplementary angles are $x$ and $y$
We know, $x+y=180^o$    ....(1)
As given in the question $x-y=34^o$
$\Rightarrow x=34+y$     .....(2)
Putting the value of $x$ in terms of $y$ in the eqn (1) we get
$34+y+y=180\\ \Rightarrow 2y=146\\ \Rightarrow y=73^o$
And $x=34+y$
$=34+73$
$=107^o$
Therefore, the angles are $107^0$ and $73^0$.

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 Single Correct Medium
In the given figure AOB is a straight line. $\angle\, AOC\, =\, 3x,\, \angle\, BOC\, =\, 2x$. The value of x is
• A. $25^\circ$
• B. $30^\circ$
• C. $40^\circ$
• D. $36^\circ$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
In the given figure, if line $l \parallel$ line $m$, Show that $\angle 1+\angle 2-\angle 3=180^{o}$.

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q3 Single Correct Medium
If $AB$ $||$ $CD$, $\angle APQ$ $=50^o$ and $\angle$ $PRD$ $=127^o$, then $x$ and $y$ respectively are ___________.
• A. $40^o, 30^o$
• B. $30^o, 45^o$
• C. $90^o, 30^o$
• D. $50^o, 77^o$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q4 Single Correct Medium
If $\angle 1\, =\, x$ and $\angle 7\, =\, \displaystyle \frac {2}{3}\, x$, then $\angle 5$ is equal to
• A. $36^{\circ}$
• B. $72^{\circ}$
• C. $144^{\circ}$
• D. $108^{\circ}$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q5 Subjective Medium
Read the following two statements which are taken as axioms:
(i) If two lines intersect each other, then the vertically opposite angles are not equal.
(ii) If a ray stands on a line, then the sum of two adjacent angles so formed is equal to $180^0$.