Find the values of w x y and z Feel free to mark the diagram

Find the values of w, x, y, and z. (Feel free to mark the diagram.) w = ____ x = _____ y = ______ z = ______ State which lines, segments, or rays are parallel in the figure to the right of each item and state the postulate or theorem which proves them parallel.

Solution

10.

third angle in the top intersection = 180 - 70-42 = 68 ( we use the rule that all angles must sum up to 180)

Since lines are paralles and same line ins intersecting , w = 70

x = 42+68 = 110

y = 42, as the 2 angles are alternate interior angles

z = 180-y, as they make a sum of 180 i.e. angles summing to a stright line
z = 180-42 = 112