Final answer:
The value of angle x in a pentagon is 103 degrees.
Step-by-step explanation:
In a pentagon, the sum of the interior angles is always 540 degrees. To find the value of angle x, we can subtract the given angles from 540 degrees and then divide by the number of missing angles.
Given angles: 117, 100, 105, 115
Sum of given angles: 117 + 100 + 105 + 115 = 437 degrees
Sum of missing angles: 540 - 437 = 103 degrees
Since there is only one missing angle x in the pentagon, the value of x must be 103 degrees.