Question

in the given figure , if AB  l  BD  , then the value of x is 

Answer 1

In the figure as we can see - 

Angle 32 = Angle DAB                            (vertically opposite angles)

Angle ABD = 90 degrees

And we know that,

$Sum$ $of$ $all$ $angles$ $of$ $triangle$ $=180$ $degrees$

So,

$32+90+x+14=180$

$136+x=180$

$x=180-136$

$x=44$ $degrees$

Answer 2

$x+14+90+32=180\\ x=44$