Question

(a) Find $x+y+z$
(b) Find $x+y+z+w$

Answer 1

(a)

$x+90=180$ (Linear pair)
$x=90$
$z+30=180,z=150,y=90+30$ (Exterior angle)
$y=120$
$x+y+z=90+120+150={300}^0$

(b)

Sum of all measure of all interior angles of quad $=360$
$a+60+80+120=360$
$a=100$
$x+120=180$ (Linear pair)
$x=60$
$y+80=180,y=100$
$z+60=180,z=120$
$w+100=180,w=80$
Sum of measure of all interior angles
$=x+y+z+w$
$=60+100+100+80$
$={360}^0$