If you add angle x to the 42 degree angle and the 73 degree angle, they will equal 180 degrees all together since those angles make a triangle
[tex]x + 42 + 73 = 180[/tex]
[tex]115 + x = 180 \\ x = 65[/tex]
Y and the 131 degree angle are supplementary so that means they both, added together, should equal 180 degrees
[tex]y + 131 = 180[/tex]
[tex]y = 49[/tex]
Angle w, the 49 degree angle, and the supplementary angle to the 142 degree angle all make a triangle, which again, means they all add up to 180 degrees.
[tex]38 + 49 + w = 180[/tex]
[tex]87 + w = 180 \\ w = 93[/tex]
The angle opposite of angle w equals angle w. Angle w plus the last angle of the triangle equals 180 degrees. We need to find the measure of the last angle to find the measure of angle t.
The last angle Which should have come out to 45 degrees, plus the measure of fhe supplementary angle 131 degree angle plus t all equals 180 degrees.
[tex]49 + 45 + t = 180[/tex]
[tex]94 + t = 180 \\ t = 86[/tex]
x plus y plus the measure of the supplementary angle of z equals 180 degrees. The supplementary angle of z equals 66. If you calculate the supplement of that angle you will get Z
[tex]66 + z = 180[/tex]
[tex]z = 114[/tex]
