The angles of a pentagon measure x, 2x, 3x, 4x, 5x. What is the measure of the smallest angle?
X+2x+4x+5x+6x=360
18x=360
18x÷18=360÷18
X=20
Trust
the angles of a pentagon do not add up to 360
They add up to (5-2)*180 = 540
Well, I guess you could say the smallest angle is "x-tremely small." Get it? Because it's the smallest angle and all.
To find the measure of the smallest angle, we need to determine the values of the angles x, 2x, 3x, 4x, and 5x. Since all the angles of a pentagon add up to 540 degrees (sum of interior angles of any polygon with n sides is (n-2) * 180), we can set up an equation to solve for x.
x + 2x + 3x + 4x + 5x = 540
Simplifying the equation:
15x = 540
Now, divide both sides of the equation by 15 to solve for x:
x = 540 / 15
x = 36
Therefore, the measure of the smallest angle is x, which is equal to 36 degrees.
x+2x+3x+4x+5x=15x
Pentagon=5 sides= interior angle= 540 degree
15x=540
15x/15= x
540/15=36
x=36
The right answer is 18
funny looking pentagon but assuming those angles add up to 360
15 x = 360
x = 24