Home
Class 9
MATHS
In the adjoining figure find /x...

In the adjoining figure find `/_x`

A

`90^(@)`

B

`120^(@)`

C

`155^(@)`

D

`135^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Extend the line CD so that it meets AB at point E
Now, in `Delta AEC`
`angleEAC+angleAEC+angleACE=180^(@)` (Angle sum property)

`rArr 54^(@)+angleAEC+38^(@)=180^(@)`
`rArr angle AEC=88^(@)`
In `DeltaBED`
`angle AED=angleDBE+angleEDB` (exterior angle = sum of two opposite interior angles
`rArr angleEDB=88^(@)-43^(@)`
or `angle EDB=45^(@)`
`angleEDB+angleBDC=180^(@)" "(L.P.A)`
`rArr 45^(@)+x=180^(@)`
`rArr x=135^(@)`
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 the adjoining figure, find the value of angleK .

In the adjoining figure, find the value of tan B.

In the adjoining figure, find the value of sin C.

In the adjoining figure, find the area of the parallelogram ABCD.

In the adjoining figure find that value of a+b if /_DBE=90^(@)

In the adjoining figure, find the area of the shaded region (Use pi = 3.14 )

(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 .

In the adjoining figure PQ||RS find x and y.

In the adjoining figure,find AC.( FIGURE )

in the adjoining figure find angleF .