Answer:
The value of x is 23.
Step-by-step explanation:
Consider the below figure attached with this question.
Form the given figure it is clear that [tex](x+16)^{\circ},(3x-1)^{\circ},6x^{\circ},5x^{\circ}[/tex]
The sum of all exterior angles of a quadrilateral is 360°.
[tex](x+16)+(3x-1)+6x+5x=360[/tex]
On combining like terms we get
[tex]15x+15=360[/tex]
[tex]15x=360-15[/tex]
[tex]15x=345[/tex]
Divide both sides by 15.
[tex]x=23[/tex]
Therefore, the value of x is 23.
