Question

In the adjacent figure if AB || CD then find the values of x,y and z​

Answer 1

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

∘

Answer 2

Answer:

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