Question 267542
sum of all the angles(interior) of a n sided polygon is given by


sum = 180(n-2) degrees

since pentagon has 5 sides (n=5) 

sum of all the angles=180(5-2)=180*3 = 540 degrees

given four of the angles measure 30,60,120, and 165

let the fifth angle be x

so 30+60+120+165+x=540  => 375+x=540

thus x=165 degrees

so the fifth angle measures 165 degrees