Find x + y + z and Find x + y + z + w.

Answers
Explanation:
(a)
x+90=180(linear pair)
/x=90
z+30=180(straight angle)\
z=180-30
/z=150
30+90=y(exterior angle prop.)
/y=120
x+y+z
=120+150+90
=360
(b)
mark angle 1.
1+120+80+60=360(angle sum prop.)
1=360-260
1=100
w+100=180-------1
z+60=180---------2
y+80=180---------3
x+120=180--------4
From 1,2,3,4:
x+y+z+w
=60+100+120+80
=360
Answer:
1. 360 2. 360
Explanation:
a.) In ABC
z + ABC = 180°
z + 30° = 180°
z = 180° - 30°= 150°
z = 150°
In ABC, A + B + C = 180°
90° + 30° + C = 180°
120° + C = 180°
C = 180° - 120° = 60°
ACB + y = 180°
60° + y = 180°
y = 180° - 60° = 120°
y = 120°
BAC + x = 180°
90° + x = 180°
x = 180° - 90° = 90°
x = 90°
y = 120°
z = 150°
x + y + z = 90° + 120° + 150°
= 360°