Home
Class 9
MATHS
In Figure, A B||C D. Find the value of x...

In Figure, `A B||C D`. Find the value of `x`

Text Solution

Verified by Experts

Through FEG||AB||CD
Now, FE||AB and BE is the transversal
`:. angleABE+angleBEF=180^(@)` (co interior angles)
`rArr120^(@)+angleBEF=180^(@)`
`rArrangleBEF=60^(@)`

Agains as EG||CD and CE is tranvesersal
`angle DCE+angle GEC=180^(@)`
`rArr100^(@)+angle GEC=180^(@)`
`rArr angle GEC=80^(@)`
Now, `ngle DEF+ angle CEB+ angle GEC =180^(@)`
`rArr60^(@)+x+80^(@)=180^(@)" "` (` :.FEG` is a straight line)

`rArrx=40^(@)`
Hence,`x=40^(@)`
Promotional Banner

Topper's Solved these Questions

  • LINES AND ANGLES

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|6 Videos

  • LINES AND ANGLES

    NAGEEN PRAKASHAN|Exercise Exercise 6 A|19 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise|12 Videos

  • NUMBER SYSTEM

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

In Figure,if ABCD, then the value of x is 20^(@) (b) 30^(0)(c)45^(0) (d) 60^(@)

In the given figure, find the value of x in terms of a, b and c.

In the given figure if l||m, what is the value of x. A. 60 B. 50 C. 45 D. 30

In Figure, A B C D is a trapezium. Find the value of x\ a n d\ y

In Fig.85, A B C D\ a n d\ A C B Ddot Find the value of x , y , zdot

(d) In the given figure,find the value of x

4 In the following figures, find the value of x: DF are F that DE Hint. A i C D (iii) 10 In the a

In Figure,what is the value of x?35 (b) 45 (c) 50 (d) 60

In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ,\ D C=x\ c m , and distance between A B\ a n d\ D C is 4c m . Find the value of x and area of trapezium A B C D

(i) In the adjoining figure, find the value of angle CBE . (ii) In the adjoining figure, two lines PAB and PDC cut a circle at points A,B,C and D. if angle PAD=60^@ ,then find the value of angleBCD .