*check attachment for the correct figure given in this question with the right labelled angles
Answer:
[tex] x = 86, y = 67, z = 94 [/tex]
Step-by-step explanation:
From the given figure attached below, values of x, y, and z can be found as follow:
Value of x:
[tex] x = 180 - (38 + 56) [/tex] => sum of angles in a triangle
[tex] x = 180 - 94 [/tex]
[tex]x = 86[/tex]
Value of z:
[tex] z = 180 - 86 [/tex] => angles on a straight line
[tex]z = 94[/tex]
Value of y:
[tex] y = 180 - (19 + 94) [/tex] => sum of angles in a triangle.
[tex] y = 180 - 113 [/tex]
[tex]y = 67[/tex]
[tex] x = 86, y = 67, z = 94 [/tex]
