Find the value of x in the Triangle shown below
x=?​

Step-by-step explanation:

We know there are 180° in EVERY triangle.  Given one angle is 58°

This triangle shown has two sides that are the same, both are 6.  The value of those two sides is irrelavent, except for the fact that this is an Isosceles triangle and the angle opposite those two sides are equal.

     x + x + 58 = 180

       2x + 58  = 180

           2x    = 180 -58

           2x = 122          

            x  =  61

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

step-by-step explanation: