Question

What is the value of T in this exterior angle

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

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

• 
  `t + 32 = t + 2t - 28`

• 
  `t + 32 = 3t - 28`

• 
  `3t - t = 32 + 28`

• 
  `2t = 60`

• 
  `t = 30 \degree`

value of t = 30°

Answer 2

t =30

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