Question

In fig., n – x = 4 then values of x and n are: (a) 103 (b) 54 (c) 104 (d) none of these​

Answer 1

Answer:

n+x+150°=360°(angles meeting at a point)

n+x=360-150

n+x=210

we know

n-x=4

so

n+x=210

&

n-x=4

making equations from the data ,that is

2n+x-x=214

2n=214

n=214/2

n=107°

so we've got

n=107°

so

n+x+150=360

107+x+150=360

257+x=360

x=360-257

x=103

therefore

the correct option is

option d) I guess

Answer 2

In figure. n-x=4 then values of x and n are: option (d) None of the above

Explanation

It is given that $n-x=4$ (i)

We know that the total sum is always 360 degree

so from this we know that

$n+x+150=360$

$= n+x=210$ (ii)

On solving equation (i and (ii)) we get,

$n+x =210$

$n-x =4$

On simplifying, we get

$2n = 214$ (as x get cancel due to positive and negative symbol)

$n = 107$

and on putting the value of n in either equation (i) or (ii) we get,

$x = 103$