Question

Two supplementary angles differ by 44 degree .Find the angles

Answer 1

Let one angle be x
Then another angle will be x-44.

We know that sum of supplementary angle is 180°

x + (x-44) = 180°
x + x = 180 + 44
2x = 224
x = 224/2
x = 112°

So angle are,
x = 112° &
x -44 = 112 - 44
= 68

Hope it helps.
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Answer 2

Hi friend, Harish here.

Here is you answer:

Let, One angle be x. 

Then the other angle = 180 - x ( Because sum of supplementary angles is 180).

Given that,

Difference of the angles  = 44°.

Then , ( 180 - x - x ) = 44°

⇒  ( 180 -2x) = 44°

⇒  180 - 44 = 2x

⇒  2x = 136.

⇒  x = 136 ÷ 2

⇒  x = 68°

Therefore the angles are:  i) x = 68°    &  ii) 180 - x = 180 - 68 = 112°
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Hope my answer is helpful to you.