Respuesta :

Given
∠FHJ = 60°
∠FGH =  28°

∠FHG = 180 - ∠FHJ
∠FHG = 180 - 60
∠FHG = 120


∠HFG = 180 - (28 + 120)
∠HFG = 180 - 148
∠HFG = 32

The measure of ∠HFG is 32 degrees

 

In a triangle, the sum of the interior angle is equal to the external angle.

Given the following parameters;

∠FHJ is 60°

∠FGH is 28°

The required angle is ∠HFG. Based on the theorems;

∠FGH + ∠HFG = ∠FHJ

28 + ∠HFG = 60

∠HFG = 60 - 28

∠HFG = 32 degrees

Hence the measure of ∠HFG is 32 degrees

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