Question

find each measure.

1. \\( \angle l y f \\)

Explanation:

Step1: Identify congruent triangles

The two triangles formed are congruent (by SSS - Side - Side - Side congruence as two sides are marked equal and the common side \(YL\)).

Step2: Use right - angle property

Since the two triangles are congruent and the sum of angles in a triangle formed with the vertical line (which is a straight line, so adjacent angles are supplementary). The angle adjacent to \(58^{\circ}\) in the congruent triangle relationship: \(\angle LYF=90^{\circ}+(90 - 58)^{\circ}\)

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Answer:

\(122^{\circ}\)