m∠ ( 5x + 1 )° will be equal to m∠31° because they both are vertically opposite angles.
Which means :-
[tex]5x + 1 = 31[/tex]
[tex]5x = 31 - 1[/tex]
[tex]5x = 30[/tex]
[tex]x = \frac{30}{5} [/tex]
[tex]\color{red}x = 6[/tex]
Therefore , m∠ ( 5x + 1 )° = 31° and the value of x = 6 .
