The measure of the sixth angle is [tex]135^\circ[/tex] and this can be determined by using the formula of the total number of sides in a polygon.
Given :
Five angles of a hexagon measure 119, 129, 104, 139, and 95.
Hexagon is a type of polygon. It is a six-sided polygon. The total sides in a polygon is given by the formula:
[tex]\rm S = (n - 2)\times 180^\circ[/tex] ----- (1)
where S is the sum of interior angles and n is the total number of sides.
Let the sixth angle of the Hexagon be 'x'.
Now, put the values of S and n in the equation (1).
[tex]119 +128+104+139+95+x=(6-2)\times 180[/tex]
[tex]585+x=4\times 180[/tex]
x = 720 - 585
[tex]x = 135^\circ[/tex]
So, the measure of the sixth angle is [tex]135^\circ[/tex].
For more information, refer to the link given below:
https://brainly.com/question/10153419
