Question

Find the measure of the exterior angle.

Answer 1

`\huge{ \mathfrak{ Answer }}`

Exterior angle = sum of opposite interior angles,

so,

`\boxed{(t + 10 )+( t )= 180-(t + 20)}`

• 
  `2t + 10 = 180 - t - 20`
• 
  `2t + t = 160 - 10`
• 
  `3t = 150`
• 
  `t = 50`

value of t = 50°

`\boxed{Exterior \: \: angle = 180 -(t + 20)}`

• 
  `180 - (50 + 20)`
• 
  `180 - 70`
• 
  `110°`

measure of exterior angle is 110°

`\\ormalsize{ \#TeeNForeveR}`

Answer 2

110 degrees because the other side is equal to 70° and the line is 180 so you would subtract 70 from 180 to get you 110°