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Answer:

Type of angle - Obtuse

Key information - 180° - 82° = 98° (missing angle)

Equation - [tex](5y+12)=98[/tex] [tex]y=17.2[/tex]

Step-by-step explanation:

Let's solve for the missing angle first! 180° - 82° = 98°. 180 represents the total among the angles so we use 180 degrees.

then use the statement to solve for y and make it equal to 98°

[tex](5y+12)=98[/tex]

[tex](5y-12)[/tex]  = -12          subtract 12 from both sides

[tex](5y)[/tex]           =  86        Now solve for y by dividing 86 ÷ 5

y = 17.2                      
it would be obtuse!.
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