The measure of angle IJK is 216°
A scale factor is a numerical ratio that describes how the dimensions of an object are enlarged or reduced in a proportional manner. It is used to compare corresponding lengths of similar figures.
Scale factor = dimension of new angle/dimension of old angle.
The new angle = 144°
The old angle = angle IJK = x
scale factor = 2/3
2/3 = 144/x
2x = 144 × 3
2x = 432
x = 432/2
x = 216°
Therefore angle IJK is 216°