Answer:
∠ H = 84°
Step-by-step explanation:
Since HI = IJ then Δ HIJ is isosceles with ∠ IHJ = ∠ IJH, thus
∠IHJ = [tex]\frac{180-134}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23°
Similarly
Since HG = JG then Δ HGJ is isosceles with ∠ GHJ = ∠ GJH, thus
∠ GHJ = [tex]\frac{180-58}{2}[/tex] = [tex]\frac{122}{2}[/tex] = 61°
Thus
∠ H = ∠ GJH + ∠ IHJ = 61° + 23° = 84°
