Sum of two angles that are supplementary = 180°
Then :-
[tex]3x - 2 + 2x+ 7 = 180[/tex]
[tex]5x + 5 = 180[/tex]
[tex]5x = 180 - 5[/tex]
[tex]5x = 180 - 5[/tex]
[tex]5x = 175[/tex]
[tex]x = \frac{175}{5} [/tex]
[tex]x = 35[/tex]
Which means :-
The measure of the larger angle :-
= 35 × 3 - 2
= 105 - 2
= 103°
The measure of the smaller angle :-
= 2 × 35 + 7
= 70 + 7
Therefore , the value of x = 35 and the measure of the smaller angle = 77° .
