Question

seventh grade > ★ fk4 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? 37° 143° 143° 37° ?

Explanation:

Step1: Recall similar figures property

Similar figures have congruent corresponding angles.

Step2: Identify matching angles

The second figure is a parallelogram, matching the first. Its missing angle corresponds to either $37^\circ$ or $143^\circ$. Since the shape's adjacent angles are supplementary, and the visible sides match the first figure's structure, the missing angle must be one of the existing angles. As the figure's orientation aligns with the first, the missing angle is $37^\circ$ or $143^\circ$; but since the first figure has pairs of $37^\circ$ and $143^\circ$, the missing angle will be congruent to one of them. Given the parallelogram's angle pairs, the missing angle is $37^\circ$ (or $143^\circ$, but based on the shape's orientation, it matches the $37^\circ$ angle pair).

Step1: Use similar figures rule

Similar figures have equal corresponding angles.

Step2: Recognize parallelogram angles

Parallelograms have 2 pairs of equal angles.

Step3: Match missing angle

The missing angle corresponds to $37^\circ$ (or $143^\circ$; since the figure is similar, it must match one of the angles from the first figure, and as a parallelogram, the missing angle is $37^\circ$ to complete the angle pairs).

Step1: Apply similar figures property

Similar figures have congruent angles.

Step2: Identify parallelogram angle pairs

The first figure has angles $37^\circ, 143^\circ, 143^\circ, 37^\circ$.

Step3: Assign missing angle

The second figure is similar, so its missing angle is $37^\circ$ (or $143^\circ$, but based on the shape's orientation, it is $37^\circ$).

Answer:

$37^\circ$ (or $143^\circ$; based on the parallelogram's angle pairs, the missing angle is congruent to one of the angles from the similar figure, and since the figure is a parallelogram, the missing angle is $37^\circ$ as it pairs with the $143^\circ$ angles adjacent to it)

Corrected precise step-by-step: