Question

question
in △wxy, ∠y ≅ ∠x, wx = 18 and xy = 9. find yw.

Explanation:

Step1: Use the property of isosceles triangle

In a triangle, if two angles are congruent (\(\angle Y\cong\angle X\)), then the sides opposite those angles are congruent.
The side opposite \(\angle Y\) is \(WX\), and the side opposite \(\angle X\) is \(YW\).

Step2: Determine the length of \(YW\)

Since \(\angle Y\cong\angle X\), by the isosceles - triangle theorem (if two angles of a triangle are congruent, then the sides opposite those angles are congruent), we have \(YW = WX\).
Given \(WX = 18\).

Answer:

\(18\)