Question

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

Explanation:

Step1: Recall the property of similar figures

Similar figures have corresponding angles equal.

Step2: Identify the corresponding angle

In the first pair of similar parallelograms, the missing angle \(?\) corresponds to the \(63^{\circ}\) angle in the larger parallelogram. In the second pair of similar parallelograms, the missing angle \(?\) corresponds to the \(117^{\circ}\) angle in the larger parallelogram.

Answer:

For the blue parallelograms: \(63^{\circ}\)
For the green parallelograms: \(117^{\circ}\)