Answer:
37°
Step-by-step explanation:
angles in a triangle add up to 180 degrees.
if two sides have the same length, an isosceles triangle is formed. the angles corresponding to the sides that have the same length are the same therefore, as FH = HG, ∠HFG = ∠FGH
180° = ∠HFG + ∠FGH + ∠FHG
= 106° + ∠HFG + ∠HFG
= 106° + 2* ∠HFG
subtract 106 from both sides to isolate the unknown and its coefficient
74° = 2*∠HFG
divide both sides by 2 to isolate the unknown
37° = ∠HFG = ∠FHG = w
