Question

8. In the given figure, DE || BC, Find the measures of angles x,y and z.
30°
N
D
E
40°
B​

Answer 1

Answer:

x+40°=180°

x=180°-40°

x=140°

x=y (corresponding angle)

y=140°

now,

In ∆ADE

30°+y+z=180°[sum of angles of a triangle]

30°+140°+z=180°

z=180°-170°

z=10°

Answer 2

Answer:

X + 40+30 =180

by coresponding

X=110

y=110

respectively

hence 110 +30+z=180

z=180-110-30

z=40