Question

the two figures are congruent. find the values of the unknown variables.
14 in.
18 in.
$x = 28$
$y = 71$
$z = 36$

Explanation:

Step1: Use the property of congruent figures

Congruent figures have equal corresponding sides and angles.

Step2: Identify corresponding sides and angles

For side \(x\), it corresponds to the side of length \(18\) in the other figure. So \(x = 18\) in.
For angle \(y\), it corresponds to the angle of \(71^{\circ}\) in the other figure. So \(y=71^{\circ}\).
For side \(z\), it corresponds to the side of length \(14\) in the other figure. So \(z = 14\) in.

Answer:

\(x = 18\) in, \(y = 71^{\circ}\), \(z = 14\) in