Final answer:
The value of y for the remaining interior angles of a hexagon, with one angle of 170 degrees, is 110 degrees. This is calculated by subtracting 170 from the total sum of the hexagon's interior angles (720 degrees) and dividing the remainder by 5.
Step-by-step explanation:
The student's question is about finding the value of y degrees for the internal angles of a hexagon, given that one of the angles is 170 degrees.
The sum of the interior angles of a hexagon is 720 degrees since there are four triangles in a hexagon (n-2) and the sum of angles in each triangle is 180 degrees. Therefore, 4 * 180 = 720 degrees.
Since one of the angles is 170 degrees, we subtract this from the total sum to find the sum of the remaining angles:
720 - 170 = 550 degrees
A hexagon has six angles, so we must divide the sum of the remaining angles by 5 (since one is already known) to find the value of y:
550 / 5 = 110 degrees.
Therefore, the value of each of the remaining interior angles is 110 degrees, which matches option (c) 130 degrees.