Question

2:3. find the angles
$
110
In the figure, DE || BC, ZA= 30° and ZB = 50°. Find the
values of x,y and z.
DA
50
B
Ann​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

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