Answer:
Explanation:
Ok so we're just going to be doing a lot of supplementary work:
The angle adjacent to 85 degrees is equal to 180 - 85 = 95
We want to find the angle measures in the triangle where 95 degrees is. We can do this by using 40, finding the opposite angle, which is also 40 due to vertical angles theorem, finding the missing angle in the right-most triangle which is 180 - 105 - 40 = 35
Using vertical angles theorem again, we know the angle opposite 35 degrees is also 35. We found another angle for the middle triangle.
The missing angle for the middle triangle is 180 - 35 - 95 = 50
The angle opposite 50 is 50 because of the vertical- you already know.
Now the left triangle has angles Z, 60 and 50.
m<Z = 180 - 60 - 50
m<Z = 70
Hope this helps!