For the diagram shown, x = 80 and y = 30 determine the v a l u e a of z. a 20 b 40 c 50 d 100 e 110
To determine the value of z, we need to use the properties of a triangle.
In triangle XYZ, we know that the sum of all angles is 180 degrees. Therefore:
x + y + z = 180
Replacing x = 80 and y = 30, we have:
80 + 30 + z = 180
110 + z = 180
Subtracting 110 from both sides, we get:
z = 180 - 110
z = 70
Therefore, the value of z is 70.
None of the given options (a, b, c, d, or e) match the correct value of z.