Question

Find x+y+Z+w shown in the following figure ​

Answer 1

Answer:

Step-by-step explanation:

Step-by-step explanation:

consider angle DAB=angle 1 =120

angle ABC=angle 2=80

angle BCD=angle 3=60

angle CDA =angle 4=m

to find m

in a quad abcd sum of interior angles =360

1 +2+3+4=180

120+80+60+m=360

m=360-260

m=100

x+angle 1 =180(linear pair)

x+120=180

x=180-120=60

y+angle 2 =180(linear pair)

y+80=180

y=180-80=100

z+angle 3 =180(linear pair)

z+60=180

z=180-60=120

w+angle4  =180(linear pair)

w+100=180

w=180-100=80

Total =w+x+y+z

60+100+120+80=360