Question

10. In the given figure, if AB || CD, find the values of x, y and z.
В.
A
750
z
125°
C
D​

Answer 1

Answer:

frist send the diagram

Answer 2

ANSWER

∠AEP+∠PEC+∠BEC=180

∘

(Supplementary angles)

x

∘

+70

∘

+x

∘

=180

∘

2x

∘

=180

∘

−70

∘

=110

∘

x=

2

110

∘

=55

∘

∠CEB+∠ECD=180

∘

(Angles made on same side of parallel lines )

x+z=180

∘

55

∘

+z=180

∘

z=180

∘

−55

∘

=125

∘

∠APE+∠PEA+∠PAE=180

∘

y+x+90

∘

=180

∘

y+55

∘

+90

∘

=180

∘

y+145

∘

=180

∘

y=180

∘

−145

∘

=35

∘