Question

quadrilateral wvza can be mapped onto quadrilateral yjdo by a rotation. if m∠z = 130° and m∠a = 3°, find m∠d. answer attempt 2 out of 3 m∠d can be determined. m∠d = °.

Explanation:

Step1: Recall rotation property

A rotation is a rigid - motion. Rigid motions preserve angle measures.

Step2: Identify corresponding angles

Since quadrilateral $WVZA$ is mapped onto quadrilateral $YJDO$ by a rotation, $\angle A$ corresponds to $\angle O$, $\angle Z$ corresponds to $\angle D$.

Step3: Find the measure of $\angle D$

Given $m\angle Z = 130^{\circ}$, and since corresponding angles in a rotation are congruent, $m\angle D=m\angle Z$. So $m\angle D = 130^{\circ}$.

Answer:

$130$