X=90 degrees
Y=134 degrees
Z=136 degrees
Angle X and the right angle of the triangle are supplementary angles. Meaning when added together, they equal to 180 degrees.
So 180-90=90
To find y, first you have to find the missing measure of the right triangle. And to do that, you use the triangle angle sum theorem.
44+90+x=180
134+x=180
Subtract 134 from both sides
X=46.
The angle with the measure 46 is supplementary to angle y
180-46=134
Angle Z is supplementary angles with the angle with the measure of 44.
So 180-44=136
