How many even numbers are larger than 80 and less than 258?

To find the even numbers larger than 80 and less than 258, we first identify the range: the smallest even number greater than 80 is 82, and the largest even number less than 258 is 256. The even numbers in this range form an arithmetic sequence with a first term of 82, a last term of 256, and a common difference of 2. The number of terms in this sequence can be calculated as ((256 - 82) / 2 + 1), which gives us 88 even numbers.