Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
w = 180° - (90 + 31) °= 180° - 121° = 59°
y = 59° ( vertical angle to w )
w and v are adjacent angles, thus
w + v = 180°
59° + v = 180° ( subtract 59° from both sides )
v = 121°
x = 121° ( vertical angle to v )
Thus
v = 121°, w = 59°, x = 121°, y = 59°