If the measures of a heptagon are 127, 152, 112, 123, 135, amd 105 what is the measure of the remaining angle

Answer: the measure of the remaining angle is 146 degrees

Step-by-step explanation:

The formula for finding the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) * 180.

A heptagon has 7 sides. This means that the sum of the angles in a heptagon is

180 (7 - 2) = 180 * 5 = 900 degrees

Let x represent the measure of the remaining angle of the heptagon. If the measures of a heptagon are 127, 152, 112, 123, 135, and 105, it means that

127 + 152 + 112 + 123 + 135 + 105 + x = 900

754 + x = 900

x = 900 - 754

x = 146 degrees