Question

find the shortest side of δghj.

Explanation:

Step1: Find angle at H in ΔGHJ

Since ∠IHG = 119° and it's supplementary to ∠JHG (linear pair), so ∠JHG = 180° - 119° = 61°.

Step2: Find angle at J in ΔGHJ

Sum of angles in a triangle is 180°. So ∠J = 180° - ∠JHG - ∠G = 180° - 61° - 60° = 59°.

Step3: Relate angles to sides

In a triangle, the shortest side is opposite the smallest angle. Angles: ∠J = 59°, ∠G = 60°, ∠JHG = 61°. So smallest angle is ∠J, opposite side is GH.

Answer:

GH