Respuesta :

wegnerkolmp2741o

Answer:

t =30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

t + (2t-28) = t+32

Combine like terms

3t -28 = t+32

Subtract t from each side

3t -28-t = t+32-t

2t -28 = 32

Add 28 to each side

2t-28+28 = 32+28

2t = 60

Divide by 2

2t/2 = 60/2

t =30

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Exterior Angle of a triangle is equal to the sum of two opposite interior angles of the same triangle, so

  • [tex]t + 32 = t + 2t - 28[/tex]

  • [tex]t + 32 = 3t - 28[/tex]

  • [tex]3t - t = 32 + 28[/tex]

  • [tex]2t = 60[/tex]

  • [tex]t = 30 \degree[/tex]

value of t = 30°

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