Sum of two angles that are supplementary = 180°
Let the first angle be x .
Then the other angle = x + 40
Measure of each angle =
[tex]x + x + 40 = 180[/tex]
[tex]2x + 40 = 180[/tex]
[tex]2x = 180 - 40[/tex]
[tex]2x = 140°[/tex]
[tex]x = \frac{140}{2} [/tex]
[tex]x = 70°[/tex]
Which means :-
The first angle:-
[tex]= x = 70°[/tex]
The second angle :-
[tex]x + 40[/tex]
[tex]70 + 40[/tex]
[tex] = 110°[/tex]
Therefore , the two supplementary angles are 70° and 110° .
