Question

if these two figures are similar, what is the measure of the missing angle? image of two trapezoids, first with angles 112°, 90°, 90°, 68°; second with a missing angle at the bottom - left, labeled ?

Explanation:

Step1: Recall property of similar figures

Similar figures have corresponding angles equal. So the missing angle should correspond to an angle in the first trapezoid.

Step2: Identify corresponding angle

In the first trapezoid, the angle with measure \(68^\circ\) is the one that should correspond to the missing angle in the second similar trapezoid (since the other angles are \(90^\circ\) or \(112^\circ\), and the second trapezoid also has right angles, so the non - right, non - \(112^\circ\) angle corresponds). So the measure of the missing angle is equal to \(68^\circ\).

Answer:

\(68\)