The sum of interior angles in a heptagon is 900 degrees. By subtracting the sum of known angles (145, 140, 133, 117, 119, 125) from the total, the measure of angle x is found to be 121 degrees.
The sum of interior angles in any polygon can be found using the formula (n-2) * 180 degrees, where n is the number of sides. For a heptagon (7-sided polygon), the sum of interior angles is (7-2) * 180 degrees = 5 * 180 degrees = 900 degrees.
To find the measure of angle x in the given heptagon, subtract the sum of the known angles from the total sum of interior angles:
x = 900 degrees - (145 degrees + 140 degrees + 133 degrees + 117 degrees + 119 degrees + 125 degrees)
x = 900 degrees - 779 degrees = 121 degrees
Therefore, the measure of angle x in the heptagon is 121 degrees.