Sum of angles in any given triangle = 180 degrees
w + 14 + 117 = 180
w + 131 = 180
w = 180 - 131
w = 49 degrees
x + y + 14 = 180
x + y = 180 - 14
x + y = 166 ... (1)
y + 89 + 55 = 180
y + 144 = 180
y = 180 - 144
y = 36 degrees
Put y in (1)
x + (36) = 166
x = 166-36
x = 130 degrees
Hope this helps!
