In a nonagon 6 of the angles are equal and each of the other three angles is 33 degree more than each of the six angles find the angles
Let's call the measure of each of the six equal angles "x". Then we can set up an equation based on the total sum of the angles in a nonagon (which is 1405 degrees):
6x + 3(x + 33) = 1405
Simplifying the equation:
6x + 3x + 99 = 1405
9x = 1306
x = 145.11 (rounded to two decimal places)
So each of the six equal angles measures approximately 145.11 degrees. And each of the other three angles is 33 degrees more than that, or approximately 178.11 degrees.