a nonagon has angles that measure 140 145 140 130 120 150 160 130 and m what is m
To find the measure of angle m in the nonagon, we need to find the sum of all the angles in a nonagon.
A nonagon has nine sides, which means it also has nine angles. The sum of all the angles in a nonagon is given by the formula:
Sum = (n-2) * 180 degrees
where n is the number of sides/angles in the polygon.
Plugging in the value for n=9, we get:
Sum = (9-2) * 180 degrees
= 7 * 180 degrees
= 1260 degrees
Now, we can subtract the given angle measures from the sum to find the measure of angle m:
m = Sum - (140 + 145 + 140 + 130 + 120 + 150 + 160 + 130)
= 1260 - (140 + 145 + 140 + 130 + 120 + 150 + 160 + 130)
= 1260 - 1115
= 145 degrees
Therefore, the measure of angle m in the nonagon is 145 degrees.