[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}[/tex]
To find :-
The value of x
Given :-
Here 2 angles are given
142°, and (3x + 22)°
Solution :-
We can see here the 2 lines intersect each other.
And the angle is formed
Since the angles are just opposite to each other so they are equal.
142° = (3x + 22)° {vertically opposite angles}
[tex]142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x[/tex]
Result :-
The value of x is 40°.