The sum of three of the angles of a nonagon is 462 degree. The other six angles are all equal to each other. Calculate the size of each of the other angles.
well, the sum of all 9 angles is 7*180 = 1260
(1260-462)/6 = ?
well, the sum of all 9 angles is 7*180 = 1260
(1260-462)/6 = ?
To find the size of each of the other angles in a nonagon, we can start by determining the measure of each individual angle using the given information.
A nonagon has nine angles, so let's assume that each of the other six angles is equal to x degrees. Therefore, the sum of the six angles would be 6x degrees.
We are also given that the sum of three angles is equal to 462 degrees. This means that the sum of all nine angles is equal to 462 degrees plus the sum of the six equal angles (6x degrees).
Now, let's calculate the sum of all nine angles:
Sum of all angles = Sum of three angles + Sum of six equal angles
Sum of all angles = 462 degrees + 6x degrees
Since a nonagon has nine angles, the sum of all angles must be 9 times the measure of each angle. Therefore, we can set up the equation:
9x = 462 + 6x
Simplifying the equation:
3x = 462
Dividing both sides of the equation by 3:
x = 154
So, each of the other six angles in the nonagon measures 154 degrees.