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In the given figure, AB CD. Find the value of x,y and z

Question

In the given figure, $A B ∥ C D$ . Find the value of $x, y$ and $z$

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Theodore Discussed

In the given figure,

A B ∥ C D

. Find the value of

x, y

and

z

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

It is given that

A B ∥ C D

and

BC

is a transversal
from the figure we know that

∠ A BC = ∠ BC D

So we get

x = 35

It is also given that

A B ∥ C D

and

A D

is a transversal

From the figure we know that

∠ B A D = ∠ A D C

so we get

z = 75

According to the

△ A BO

we can write

∠ A BO + ∠ B A O + ∠ BO A = 180^{o}

by substituting the values

x^{o} + 75^{o} + y^{o} = 180^{o}

35^{o} + 75^{o} + y^{o} = 180^{o}

y^{o} = 180^{o} - 35^{o} - 75^{o}

x^{o} = 70^{o}

therefore the value of

x, y, z

are

3 5^{o}, 7 0^{o}, 7 5^{o}

respectively.

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Question Text	In the given figure, $A B ∥ C D$ . Find the value of $x, y$ and $z$
Answer Type	Text solution:1
Upvotes	151

In the given figure, AB∥CD. Find the value of x,y and z

Text solutionVerified

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In the given figure, $A B ∥ C D$ . Find the value of $x, y$ and $z$