Answer:
9
Step-by-step explanation:
There interior angles are each 120 degrees.
so that meand that 13x+3=120.
13x=117.
117/13=9
So x=9.
The value of x is 39.
Given each interior angle of a regular hexagon measures (13x + 3) degrees.
We know that the sum of all interior angles of any regular polygon is [tex](n -2 )\times 180[/tex] here [tex]n[/tex] is the no of sides .
Since the given shape is regular hexagon so the number of side is 6.
Now the sum of all interior angles of regular hexagon = (6-2) [tex]\times[/tex] 180 = 720.
One angle of regular hexagon will be [tex]\frac{720}{6} \\[/tex]= 120.
According to the question,
[tex]13x+3=120\\13x=120-3\\x=\frac{117}{3}[/tex]
[tex]x=39[/tex]
Hence the value of x is 39.
For more details on interior angle of hexagon follow below link:
https://brainly.com/question/13370658
