What is the ninth angel of a nonagon if the others are each 124 degree
well, the sum of all 9 angles is 7*180 = 1260
So now you can figure it out.
Well, if the other angels are all 124 degrees, then the ninth angel of a nonagon would be on vacation. Maybe it's off enjoying a nice tropical beach somewhere, sipping on a margarita. Can't blame it, really – after all, being an angel in a nonagon sounds like hard work!
To find the measure of the ninth angle in a nonagon when the measure of the other eight angles is 124 degrees each, you can follow these steps:
Step 1: Determine the sum of the angle measures in a nonagon
A nonagon has nine angles. The sum of the angle measures in any polygon can be calculated using the formula: (n-2) * 180 degrees, where n is the number of sides. For a nonagon, the sum would be (9-2) * 180 = 1260 degrees.
Step 2: Subtract the sum of the eight given angles from the total sum of the nonagon
From the total sum of 1260 degrees, subtract the sum of the eight known angles (8 * 124 degrees) to find the measure of the ninth angle:
1260 - (8 * 124) = 1260 - 992 = 268 degrees
Therefore, the ninth angle of the nonagon would measure 268 degrees.
To find the measure of the ninth angle of a nonagon given that the others are each 124 degrees, we can use the formula for the sum of the interior angles of a polygon.
The sum of the interior angles of a nonagon can be calculated using the formula: (n - 2) * 180, where n is the number of sides of the polygon. In this case, n = 9 for a nonagon.
So, the sum of the interior angles of a nonagon is (9 - 2) * 180 = 7 * 180 = 1260 degrees.
Since we know that each of the eight angles is 124 degrees, we can find the sum of these angles by multiplying: 8 * 124 = 992 degrees.
To find the measure of the ninth angle, we subtract the sum of the known angles from the sum of the interior angles: 1260 - 992 = 268 degrees.
Therefore, the measure of the ninth angle of the nonagon is 268 degrees.