Question

if ∠ghj ≅ ∠ihj and gj = 98, what is ij?

Explanation:

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

Since \( \angle GHJ\cong\angle IHJ\), \( \angle JGH=\angle JIH = 90^{\circ}\), and \(JH = JH\) (common side), then \(\triangle GJH\cong\triangle IJH\) by AAS.

Step2: Use the property of congruent triangles

If \(\triangle GJH\cong\triangle IJH\), then their corresponding sides are equal. That is \(GJ = IJ\).

Step3: Substitute the given value

Given \(GJ = 98\), so \(IJ=98\).

Answer:

\(98\)