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Find x,y,z (Note: DE || BC)[pls answer with full steps.]​

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Answer:

DE parallel to BC and AB is a transversal.

∴ ∠ADE=∠DBE⋯⋯[corresponding angles]

⇒ x=30

o

Now, DE parallel to BC and AC is a transversal.

∴ ∠AED=∠ECB⋯⋯[corresponding angles]

⇒ y=40

o

In triangle ABC,

∠A+∠B+∠C=180

o

⇒ z+30

o

+40

o

=180

o

⇒ z=180

o

−40

o

−30

o

⇒ z=110

o

Therefore,

⇒ x=30

o

⇒ y=40

o

⇒ z=110

o

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Khloe  Melendez
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