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

The measure of remaining angle of heptagon is 146 degree.

The sum of the measures of the interior angles of a heptagon is 900º.

Let us consider that remaining angle is x degree.

Given that, the measures of a heptagon are 127, 152, 112, 123, 135, and 105 degrees.

Thus, the measure of remaining angle is 146 degree.

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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