the measure of the seven angles in a nonogon measure 138, 154, 145, 132, 128, 147, and 130. if the two remaining angles are equal in measure, what is the measure of each angle

Answer 1

The sum of all interior angles in a polygon = (n-2) * 180 where n is the number of sides.

Subtract the sum of the given 7 angles from the sum of all the interior angles.

Since the two remaining angles are equal, each are equal to half of the above value.

Answer 2

Sum of all angles in nonagon is 1260

subtract the sum of given angles from the total and divide by 2 will give you measure of each angle.

(1260-(138+154+145+132+128+147+130))/2= 143