Question

seventh grade > ★ ff.4 side lengths and angle measures of similar figures ja5 you have prizes to re if these two figures are similar, what is the measure of the missing angle? 105° 90° 75° 90° ?

Explanation:

Step1: Recall similar figures property

Similar figures have congruent corresponding angles.

Step2: Match corresponding angles

The missing angle corresponds to the $105^\circ$ angle in the first figure (or we can verify by checking the sum of quadrilateral angles: sum of angles in quadrilateral is $360^\circ$. For the first figure: $105+90+90+75=360$. For the second figure, the missing angle must match the non-right, non-$75^\circ$ angle from the first figure, which is $105^\circ$).

Answer:

$105^\circ$