Math, asked by manish1636, 5 hours ago

AB∥DC. If x=4/3y and y=3/5z, find the value of y.​

Answers

Answered by avanishukla4706
0

Answer:

pata nhi yrr mujhe bhi puchna tha yrrrrrrrr

Answered by newmerryn
0

Answer:

AB∥DC; x=

3

4

y and y=

8

3

z

AB∥DC,

⇒ ∠ABD=∠BDC [ Alternate angles ]

∴ ∠ABD=∠BDC=x

In △BDC,

x+y+z=180

o

3

4

y+

8

3

z+z=180

o

First we will solve the

3

4

y.

Since, y=

8

3

z

3

4

×

8

3

z

24

12

z

2

1

z

Now,

2

1

z+

8

3

z+z=180

o

8

4z+3z+8z

=180

o

.

8

15z

=180

o

.

⇒ 15z=180

o

×8

⇒ z=

15

1440

⇒ z=96

o

.

Now, y=

8

3

z

⇒ y=

8

3×96

o

⇒ y=

8

288

⇒ y=36

o

.

Now, x=

3

4

y

⇒ x=

3

4×36

o

⇒ x=

3

144

⇒ x=48

o

.

∴ x=48

o

,y=36

o

and z=96

o

.

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