SOLUTION: The angles of a pentagon measure x deg, 2x deg, 3x deg, 4x deg, and 5x deg. What is the measure of the smallest angle?

Algebra ->  Parallelograms -> SOLUTION: The angles of a pentagon measure x deg, 2x deg, 3x deg, 4x deg, and 5x deg. What is the measure of the smallest angle?      Log On


   



Question 940069: The angles of a pentagon measure x deg, 2x deg, 3x deg, 4x deg, and 5x deg. What is the measure of the smallest angle?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
sum of all angles in a pentagon = 540 degrees
given angles = x,2x,3x,4x,5x
sum = x+2x+3x+4x+5x
=15 x
15x =540
divide with 15 0n both sides
+15+x%2F15+=540%2F15
+x=++36+degrees
smallest angle = 36 degrees