Question

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

Explanation:

Step1: Recall property of similar figures

Similar figures have equal - corresponding angles.

Step2: Identify corresponding angles

The given figure has angles \(110^{\circ},70^{\circ},110^{\circ},70^{\circ}\). The missing angle in the similar figure corresponds to one of the angles in the given figure.

Step3: Determine the missing - angle measure

Since the figures are similar, the missing angle is equal to one of the angles in the first figure. The missing angle measure is \(70^{\circ}\) or \(110^{\circ}\). Assuming the pattern of angle - placement is the same, if we consider the position, the missing angle is \(70^{\circ}\).

Answer:

\(70\)