Question

identify two angles that are marked congruent to each other on the diagram below. (diagram is not to scale.)

Explanation:

Step1: Analyze angle markings

Look at the diagram for congruent angle markings (curved arcs with same number of marks).
Angle at \( F \) (let's call it \( \angle LFE \)) and angle at \( I \) (let's call it \( \angle KIJ \)) have the same curved arc markings, indicating congruence.

Step2: Identify the angles

From the diagram, \( \angle LFE \) (at \( F \)) and \( \angle KIJ \) (at \( I \)) are marked with the same congruence indicators (curved arcs and tick marks), so they are congruent.

Answer:

\( \angle LFE \) and \( \angle KIJ \) (or \( \angle IFE \) and \( \angle IIJ \) depending on precise labeling, but the key is the angles with matching congruence marks, e.g., \( \angle LFE \cong \angle KIJ \))