Answer:
w = 146 degrees
x = 90 degrees
y = 34 degrees
z = 56 degrees
Step-by-step explanation:
Right angles will always add up to 90 degrees.
Straight lines will always add up to 180 degrees.
Since x is a right angle, x = 90 degrees.
Since z + 34 = 90 degrees (a right angle):
90 - 34 = z
90 - 34 = 56 degrees
Since x + y + z = 180 degrees (a straight line), simply plug in the numbers we have found already:
90 + y + 56 = 180
y = 180 - 90 - 56
y = 34
Since w + 34 = 180 degrees (a straight line):
180 - 34 = w
180 - 34 = 146 degrees
