Answer:
∠1 = 140
∠2 = 40
∠3 = 65
∠4 = 75
∠5 = 115
Step-by-step explanation:
3) ∠1 = 80 + 60 { Exterior angle of a triangle is equal to the sum of opposite interior angles}
∠1 = 140
∠1 = 140
∠2 + ∠1 = 180 {linear pair}
∠2 = 180 - 140 = 40
∠2 = 40
∠4 + 105 = 180 {linear pair}
∠4 = 180 - 105 = 75
∠4 = 75
∠2 + ∠3 = 105 { Exterior angle of a triangle is equal to the sum of opposite interior angles}
40 + ∠3 = 105
∠3 = 105 - 40 = 65
∠3 = 65
∠5 = ∠4 + 40
∠5 = 75 + 40 = 115
∠5 = 115
