Answer:
Value of variable 'x' is 18.
Explanation:
From the picture attached,
In right triangle XYZ,
m(∠YXZ) = (3x + 11)°
m(∠XYZ) = 90°
m(∠XZY) = 25°
By applying triangle sum theorem in the given triangle,
m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°
(3x + 11)° + (25)° + (90)° = 180°
3x + 126 = 180
3x = 54
x = 18
Therefore, value of variable 'x' is 18.