The measure of the angle x is equivalent to 40 degrees.
Angles in a triangle
The sum of angles in a triangle is 180 degrees. For the given angle, the sum of interior angle is equal to exterior to have:
x + y = 110
Since the triangle is isosceles, hence y = 70 degrees
In order to determine the value of 'x'
x + y + y = 180
x + 2y = 180
x + 2(70) = 180
x + 140 = 180
x = 40 degrees
Hence the measure of the angle x is equivalent to 40 degrees.