You have a heptagon with the following interior angles 125, 130, 175, 105, 165, 25. What's the measurement of the 7th angle and why?
900 - (125 + 130 + 175 + 105 + 165 + 25) = ?
http://www.coolmath.com/reference/polygons-07-heptagons.html
The sum of the interior angles of a polygon with N sides is
180*(N-2) degrees.
A heptagon has N=7 sides, so the sum is 900 degrees.
The seventh angle must be
900-(125 +130 + 175 + 105 + 165 + 25)
= 175 degrees
To find the measurement of the 7th angle in a heptagon, we can use the fact that the sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180 degrees.
In this case, we have a heptagon, which has 7 sides. So, the sum of the interior angles of the heptagon is:
(7 - 2) * 180 = 5 * 180 = 900 degrees.
To find the measurement of the 7th angle, we subtract the sum of the given interior angles from the total sum of the interior angles:
900 - (125 + 130 + 175 + 105 + 165 + 25) = 275 degrees.
Therefore, the measurement of the 7th angle is 275 degrees.