Question

name an angle congruent to ∠gji.

Explanation:

Step1: Recall the Inscribed Angle Theorem

In a circle, if two chords are congruent, then the inscribed angles that subtend them are congruent.

Step2: Identify the Congruent Arcs

Given \(GH = GJ\), the arcs \(GH\) and \(GJ\) are congruent.

Step3: Find the Congruent Angle

The inscribed angle \(\angle GEH\) subtends arc \(GH\) and \(\angle GJI\) subtends arc \(GJ\). Since \(GH = GJ\), by the Inscribed Angle Theorem, \(\angle GEH\cong\angle GJI\)

Answer:

\(\angle GEH\)