Question

if ∠ghj ≅ ∠ihj and ij = 44, what is gj?

Explanation:

Step1: Use the Angle - Angle - Side (AAS) Congruence Theorem

Since \(\angle GHJ\cong\angle IHJ\), \(\angle H G J=\angle H I J = 90^{\circ}\), and \(HJ = HJ\) (common side). By AAS congruence, \(\triangle H G J\cong\triangle H I J\).

Step2: Use the property of congruent triangles

If two triangles \(\triangle H G J\) and \(\triangle H I J\) are congruent, then their corresponding sides are equal. That is \(GJ = IJ\).

Answer:

\(44\)