The following figures are not drawn to scale but AB and CD if present) are straight lines. Find x:

x = 45 degrees

Step-by-step explanation:

We know that total angle around a point is 360. This can be taken from fact that on a coordinate plane of x and y axis . total angle at origin is 360 in which

each quadrant subtends 90 degrees.

in the problem given

sum of all the angles around 0 will be 360 degrees

∠KOL IS RIGHT ANGLE

∠KOL  = 90 degrees

∠LOM = x

∠MON = x

∠NOK = 4x

∠KOL + ∠LOM + ∠MON + ∠NOK = 360

90 + x + x + 4x = 360

6x = 360 - 90 = 270

=> x = 270/6 = 45

Thus, value of x is 45 degrees.