Question

if these two figures are similar, what is the measure of the missing angle?
109° 109°
71° 71°
?

Explanation:

Step1: Recall similar figures property

Corresponding angles of similar figures are congruent (equal in measure).

Step2: Match the missing angle

The missing angle in the smaller trapezoid corresponds to the $109^\circ$ angles in the larger trapezoid.

Answer:

$109^\circ$