Respuesta :

So, FGI = 180 degrees,
if m<HGF = 89 degress, then what you need to do is,
180-89=91 (to find the other side)
So, m<HGI is 91 degrees.

Answer:

The ∠HGI is 91° .

Step-by-step explanation:

As given

m∠HGF is 89° .

As shown in the figure given in the question .

Now by using the linear pair property .

A linear pair is a pair of adjacent, supplementary angles.

Adjacent angles is defined as angles next to each other, and supplementary angles is defined as measures of the two angles add up to equal 180° .

Thus

∠HGF + ∠HGI =  180°

89° + ∠HGI = 180°

∠HGI = 180° - 89°

∠HGI = 91°

Therefore the ∠HGI is 91° .

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