The following are the angles formed at the center of a circle: 40o, 60o, 100o, 3xo and 5xo.
Find the value of x.
Show Solution
The sum of angles formed at the center of a circle add up to 360o
Hence 40o + 60o + 100o + 3xo + 5xo = 360o
40o + 60o + 100o + 3xo + 5xo = 360o
Simplify and solve for the value of x
40o + 60o + 100o + 3xo + 5xo = 360o
200o + 8xo = 360o
8xo = 360o - 200o
8xo = 160o
Divide both sides by 8
Cancel out
x = 20