From the given figure
There is a right triangle
Its hypotenuse = 39
The side adjacent to the missing angle = 35
Since we have adjacent side, and hypotenuse, then we will use cos x
[tex]\cos x=\frac{35}{39}[/tex]Use the inverse of cos to find x
[tex]x=\cos ^{-1}(\frac{35}{39})[/tex]Use the calculator to find x
x = 26.17695217
Round it to the whole number
x = 26 degrees
The measure of the missing angle is 26 degrees
