Answer:
[tex]x=113[/tex]
[tex]y=67[/tex]
[tex]z=49[/tex]
Step-by-step explanation:
To find x:
We can use the angle sum property of a triangle which states that, The sum of all internal angles of a triangle is always equal to 180°.
Therefore, [tex]28+39+x=180[/tex]
[tex]67+x=180[/tex]
[tex]x=180-67[/tex]
[tex]x=113[/tex]
Now that we know the value of [tex]x[/tex] we can use it to find the value of [tex]y[/tex].
We can see that angle [tex]x[/tex] and [tex]y[/tex] are supplementary which means:
[tex]x+y=180[/tex]
[tex]113+y=180[/tex]
[tex]y=180-113[/tex]
[tex]y=67[/tex]
Now that we know the value of [tex]y[/tex] we can use the angle sum property of a triangle again:
[tex]64+y+z=180[/tex]
[tex]64+67+z=180[/tex]
[tex]131+z=180[/tex]
[tex]z=180-131[/tex]
[tex]z=49[/tex]
