The measures of the angles of a triangle are shown in the figure below. Solve for x.

Left side: x. Right side: 36.

Since the sum of the angles of a triangle is always 180 degrees, we can write the equation:

x + 36 + 90 = 180

Combining like terms:

x + 126 = 180

Subtracting 126 from both sides:

x = 180 - 126

Simplifying:

x = 54

Therefore, x = 54.