Question

if these two figures are similar, what is the measure of the missing angle? 61° 119° 119° 61° ?

Explanation:

Step1: Recall similar figures property

Similar figures have congruent corresponding angles.

Step2: Identify corresponding angle

The first figure (a parallelogram) has angles \(61^\circ\), \(119^\circ\), \(119^\circ\), \(61^\circ\). The second figure is also a parallelogram (since similar to the first, which is a parallelogram). The missing angle should correspond to the \(61^\circ\) angle in the first figure (or the other \(61^\circ\)) because in a parallelogram, opposite angles are equal and consecutive angles are supplementary, and similar figures preserve angle measures. So the missing angle is \(61^\circ\) (or we can also calculate using the fact that in a parallelogram, sum of angles is \(360^\circ\), but since similar, corresponding angles are equal, so the missing angle matches the \(61^\circ\) angle from the first figure).

Answer:

\(61\)