Question

if these two figures are similar, what is the measure of the missing angle? 125° 55° 55° 125° ?

Explanation:

Step1: Recall similar figures property

Similar figures have congruent corresponding angles.

Step2: Identify matching angle

The missing angle corresponds to either the $125^\circ$ or $55^\circ$ angles in the first figure. Observing the shape (a parallelogram, where adjacent angles are supplementary), the missing angle matches the $125^\circ$ angles (it is adjacent to the implied $55^\circ$-type angle in the smaller parallelogram).

Answer:

$125^\circ$