For the diagram shown, x = 80 and y = 30.
Determine the value of z below. A, B, C, or D
A. 20
B. 40
C. 50
D. 100
Based on the given information, angle z lies in a triangle where angle x = 80 and angle y = 30. In a triangle, the sum of the angles is always 180 degrees.
Since angle x = 80 and angle y = 30, we can find angle z by subtracting the sum of these two angles from 180:
180 - (80 + 30) = 70
Therefore, the value of z is 70 degrees.
None of the answer choices A, B, C, or D match the value of 70, so none of them are correct options.