Question

in the adjoining figure find x+y+z+w

Answer 1

z+70=180
z=110
x+130=180
x=50
y+80=180
y=100
70+80+130+?=360
?=360_ 280
=80

Answer 2

sum of all angles of quadrilateral=360
so,let unknown no be 'a'
130+80+70+a=360
280+a=360
a=360-280
a=80

x=180-130
=50

y=180-80
=100

z=180-70
=110

w=180-a
=180-80
=100

now,
x + Y + Z + w = 50 + 100 + 110 + 100
=360
from this we can prove that the sum of exterior angle of quadrilateral is 360