Z = 5
And B = 45
This is because all angles in any triangle is equivalent to 180 degrees. When you have a similar triangle, the angle measures remain consistent, only the side lengths change. Therefore, we know that:
Angle D = 105 degrees
Angle C = 30 degrees
And angle B = (10z - 5) degrees
105 + 30 = 135
180 - 135 = 45
10z - 5 = 45
10z = 50
z = 5
So, angle B = 45 and z = 5
