Question

two supplementary angles differ by 32 degree .find the angles.
agar apko pta ho tbhi answer den. plz solve this problem by step-by-step explanation

Answer 1

Hey

Two angles are called to supplementary if their sum is 180° .

Let the angles be x and y , where x > y .
Now , they are supplementary .
So ,
$x + y = 180$

And another criteria is mentioned that , the difference is 32° .

So ,
$x - y = 32$
[ as x > y ] .

Now , we will add two equation , we get
$= > x + y + x - y = 180 + 32$
$= > 2x = 212$

$= > x = 106$
So ,
$y = 180 - x = 180 - 106$

$y = 74$

So , Angles are 106° and 74° .

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Answer 2

Let one angle be x degree
therefore other angle is 180-x degree
Given
x-(180-x) =32 degree where x>180-x
=> x-180+x=32 degree
=>2x=212 degree
=>x=106 degree
therefore the other angle is 180-106=74 degree
The two angles are 74 and 106 degree respectively