Question

if (mangle wxz=mangle yxz = 56^{circ}) and (wz = 97), what is (yz?)

Explanation:

Step1: Identify congruent triangles

In right - triangles $\triangle WXZ$ and $\triangle YXZ$, $\angle WXZ=\angle YXZ = 56^{\circ}$, $\angle XYW=\angle XWW = 90^{\circ}$, and $XZ$ is common. So, $\triangle WXZ\cong\triangle YXZ$ by the Angle - Angle - Side (AAS) congruence criterion.

Step2: Use congruent - triangle property

Since $\triangle WXZ\cong\triangle YXZ$, corresponding sides are equal. That is, $YZ = WZ$.

Answer:

97