In a noctagon six of the angles and each of the other three angle is 33 degree more than each of the six angle find the angles
To solve this problem, let's start by assigning variables to the angles. Let x represent each of the six angles.
According to the given information, each of the other three angles is 33 degrees more than each of the six angles.
So, the other three angles can be represented as x + 33.
Now, since the angles of a noctagon (nine-sided polygon) add up to 1440 degrees, we can set up an equation:
6x + (x + 33) + (x + 33) + (x + 33) = 1440
Simplifying this equation:
6x + 3x + 99 = 1440
Combine like terms:
9x + 99 = 1440
Subtract 99 from both sides:
9x = 1341
Divide by 9:
x = 149
Now we can find the value of each angle by substituting x back into the equation:
each angle = x = 149 degrees
So, each of the six angles in the noctagon is 149 degrees, and each of the other three angles is 149 + 33 = 182 degrees.