For the diagram shown x = 80 and y = 30 determine the v a l u e a z a20 b40c 50 d100e 110
The value of z can be determined using the angle relationships in a triangle.
Since x = 80, and angles x and z are corresponding angles, we can conclude that angle z is also 80 degrees.
Since y = 30, and angles x and y are corresponding angles, we can conclude that angle y is also 30 degrees.
To find angle a, we can use the fact that the sum of angles in a triangle is 180 degrees.
a + y + z = 180
a + 30 + 80 = 180
a + 110 = 180
a = 70
Therefore, the value of z is 70.
The answer is not included in the options provided.