Answer:
N = number of sides
The sum of the interior angles of a polygon is equal to (N x 180)-360.
The first problem has 7 sides so the interior angle total = 900 degrees.
Add up all the known interior angles:
96+105+161+123+155+114+x = 900
x = 900-754 = 146 degrees
The second problem has 6 sides so the interior angle total = 720 degrees.
Add up all the known interior angles:
127+40+202+90+150+x = 720
x = 720-609 = 111 degrees