Question

seventh grade > ★ ff.4 side lengths and angle measures of similar figures ja5 you have prizes to reveal! if these two figures are similar, what is the measure of the missing angle? 104° 90° 76° 90° ? submit

Explanation:

Step1: Recall similar figures property

Similar figures have congruent corresponding angles.

Step2: Match the missing angle

The missing angle corresponds to the $76^\circ$ angle in the first figure, or verify by sum of quadrilateral angles:
Sum of angles in quadrilateral is $360^\circ$. For the first figure: $104^\circ + 90^\circ + 90^\circ + 76^\circ = 360^\circ$. Since similar figures have identical angle measures, the missing angle matches the corresponding $76^\circ$ angle.

Answer:

$76$