Answer :
Final answer:
After subtracting the known angles from 360, we find that x equals 64 degrees. A is correct.
Explanation:
The question asks us to find the value of angle W, labeled as x degrees, in a quadrilateral WXYZ with the given angles at X, Y, and Z being 100 degrees, 130 degrees, and 66 degrees respectively.
To find x, we need to use the fact that the sum of interior angles in a quadrilateral equals 360 degrees. We can set up the following equation: x + 100 + 130 +66 = 360.
Solving for x, we subtract the other three angles from 360:
360 - (100 + 130 + 66) = 360 - 296 = 64
Therefore, the value of x is 64 degrees.
