Final answer:
When two line segments are perpendicular to each other, they meet at a right angle of 90 degrees. To find the value of x when one angle measure is given as 62.90 degrees, subtract the sum of the given angle measures from 180 degrees.
Step-by-step explanation:
When two line segments are perpendicular to each other, it means that they meet at a right angle of 90 degrees. In a triangle, the sum of the angle measures is always 180 degrees. So, if one angle measure is 62.90 degrees, and the other angle is x degrees, we can find x by subtracting the sum of the given angle measures from 180 degrees:
x = 180 - (62.90)
x = 117.10
Therefore, the value of x is 117.10 degrees.