Question

one interior angle of an hexagon is 170°, and each of the remaining interior angles is equal to y° ,find the value of y.​

Answer 1

Answer:

y = 110

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon with n sides is: (n-2) x 180 degrees. A hexagon has 6 sides, so if we plug this value into the equation, we get (6-2) x 180 = 4 x 180 = 720 degrees. Since we have one angle which is 170 degrees and the other five angles are the same (y), we can make the equation 170 + 5y = 720. We subtract 170 on both sides and get the equation 5y = 550. Dividing both sides by 5, we get y = 110, which is our answer.