Math, asked by pinkyshah0301, 10 months ago

Ques, UU (IV)
In the given figure, if line segment AB is parallel to the line segment CD, what is the value of y?
sy
B
A
12
B
15
С
18
D
20​

Answers

Answered by khushal12349
1

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Important Solutions

Question Bank Solutions6366

Important Solutions2

It is given that AB is parallel to CD.

Thus,∠ABDand

∠BDC

are consecutive interior angles.

Therefore, their sum must be supplementary.

That is,

∠ABD+∠BDC=180∘

From the figure, we get:

( y + 2y + y ) + (5y) = 180°

                    4y+ 5y = 180°

                           9y = 180°

y=180°9                    4y+ 5y = 180°

                           9y = 180°

y=180°9

Answered by Anonymous
1

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Important Solutions

Question Bank Solutions6366

Important Solutions2

It is given that AB is parallel to CD.

Thus,∠ABDand

∠BDC

are consecutive interior angles.

Therefore, their sum must be supplementary.

That is,

∠ABD+∠BDC=180∘

From the figure, we get:

( y + 2y + y ) + (5y) = 180°

4y+ 5y = 180°

9y = 180°

y=180°9 4y+ 5y = 180°

9y = 180°

y=180°9

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