Answer:
<em>From left to right: 54 deg, 51 deg, 47 deg</em>
Step-by-step explanation:
From the bottom right triangle:
105 + 28 + x = 180
x + 133 = 180
x = 47
The lower right triangle has angles measuring 28, 105 and 47.
The lower unknown angle of the upper right triangle is vertical to the 47 deg angle, so it also measures 47 deg.
Now we calculate the upper unknown angle of the upper triangle.
82 + 47 + y = 180
y + 129 = 180
y = 51
One angle forms a linear pair with the 105-deg angle. It measures
180 - 105 = 75.
The large left triangle has angles 75 deg, 51 deg, and the unkown angle at the left.
z + 51 + 75 = 180
z + 126 = 180
z = 54
