Question

two supplementary angles differ by 44 degree. find the angles.

Answer 1

Total sum of supplementary angles:- 180°
Difference is 44°

Therefore
Let one angle be x
And another be x+44
x+x+44=180
2x=180-44
2x=136
x=136/2
x=68

The angles are 68°
And, 68+44=112°

Angle 1)68°
2)112°

Answer 2

Let the angles be x and y degrees respectively.

Given, two supplementary angles diifer by 44 degrees.

i.e. x-y =44...........(1)

But,

We know, Sum of all the angles of supplementary angles is 180 degrees.

i.e. x+y =180---------(2)

Now...

(2)-(1) =>x + y - x + y = 180-44

=> 2y = 136

i.e. y = 68

Putting the value of y = 68 in eq. (1) we get,

=> x-68 = 44

i.e. x = 112

Thus, The two angles are 112 and 68 degrees respectively.