Answer:
w + x + y + z = 300
Explanation:
30° , x° , w° , lie on a straight line and sum to 180° , that is
30 + x + w = 180 ( subtract 30 from both sides )
w + x = 150 → (1)
the angle between w and z = 30° ( vertically opposite angles ) , then
y° , z° , 30° lie on a straight line and sum to 180° , that is
y + z + 30 = 180 ( subtract 30 from both sides )
y + z = 150 → (2)
add (1) and (2)
w + x + y + z = 150 + 150 = 300