Answer:
w = 63; x = 86; y = 38; z = 25
Step-by-step explanation:
Find w:
117 + w = 180 (linear pair)
w = 63
Find x:
x + w + 31 = 180 (sum of measures of interior angles of triangle is 180)
x + 63 + 31 = 180
x = 86
Find y:
x + y + 56 = 180 (sum of measures of three angles equals 180 deg)
86 + y + 56 = 180
y = 38
Find z:
y + z + 117 = 180 (sum of measures of interior angles of triangle is 180)
38 + z + 117 = 180
z = 25
