Home
Class 9
MATHS
Find the measure of angle x in the adjoi...

Find the measure of `angle x` in the adjoining figure.

A

`x=14^(@)`

B

`x=24^(@)`

C

`x=34^(@)`

D

`x=44^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that it `DeltaABC,`
`rArr angleA|angleB|angleC=180^(@)` (angle sum property)
`rArr 94^(@)+40^(@)+angleC=180^(@)`
`rArr angle C=180^(@)-134^(@)=46^(@)`

Now, in `DeltaEDC`,
`x+110^(@)+angleC=80^(@)` (angle sum propery)
`rArr x|110^(@)+46^(@)=180^(@)`
`rArr x=24^(@)`
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

Find the number of triangles in the adjoining figure.

In the adjoining figure find /_x

(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 .

Find the value of x in the adjoining figure.

Find the value of x, in the adjoining figure, if DE||BC.

Find the values of a and b from the adjoining figure.

What wil be the value of angle X in adjoining figure.

What is the value of x in the adjoining figure?

What is the value of x in the adjoining figure?