Question

the difference between the two supplementary Angles is 22° .find the angles.

Answer 1

supplementary angles are those whose total is 180
so let smaller angle be X then the bigger be X+22
so X+X+22=180
2x=158
X=79
so two angles are 79° and 79+22=101°

Answer 2

☆Hello friend☆

Let one supplimentary angle be x and another y.

Now, we know that sum of two supplimentary angles is 180°

x + y = 180°

And there difference given us 22°

x - y = 22°

If we add both equations:-

2x= 202°
x= 202°/2
x= 101°

x + y = 180°
101° + y = 180°
y= 180° - 101°
y = 79°

$hope \: it \: helps$

☺☺☺