Answer:
Step-by-step explanation:
∠1 + 52 = 180 {linear pair}
∠ 1 = 180 - 52
∠1 = 128
∠4 = 52 {Vertically opposite angles}
∠3 = ∠1 {Vertically opposite angles}
∠3 = 128
∠2 + 44 = 180
∠2 = 180 - 44 {linear pair}
∠2 = 136
∠5 = 44 {Vertically opposite angles}
∠6 = ∠2 {Vertically opposite angles}
∠6 = 136
∠11 = ∠2 {corresponding angles}
∠11 = 136
∠12 = 44 {corresponding angles}
∠15 = ∠5 {corresponding angles}
∠15 = 44
∠16 = ∠6 {corresponding angles}
∠16 = 136
∠13 = 52 {corresponding angles}
∠14 = ∠1 {corresponding angles}
∠14 = 128
∠17 = ∠3 {corresponding angles}
∠17 = 128
∠18 = ∠4 {corresponding angles}
∠18 = 52
∠4 + ∠ 5 +∠7 = 180 {angle sum property of triangle}
44 + 52 + ∠7 = 180
96 + ∠7 = 180
∠7 = 180 - 96
∠7 = 84
∠10 = ∠7 {Vertically opposite angles}
∠10 = 84
∠7 + ∠8 = 180 {linear pair}
84 + ∠8 = 180
∠8 = 180 - 84
∠8 = 96
∠9 = ∠8 {Vertically opposite angles}
∠9 = 96
