So we can write the equation to find the x by knowing that 48° + x + x=180° because they are supplementary angles.
48°+2x=180°
2x=180°-48°
x= 132/2
x=66°
Now we can find the angle z by writing the equation: 90° + x + z= 180° -> 90°+66°+z=180° because that's a right triangle.
156° + z =180°
z= 180° - 156°
z=24°