Answer:
Angles 2, 4, 6 & 8 are 118 degrees and angles 1, 3, 5 & 7 are 62 degrees.
Step-by-step explanation:
∠4 ≅ ∠2 by the Vertical Angle Theorem.
∠4 ≅ ∠8 by the Corresponding Angle Theorem.
∠4 ≅ ∠6 by the Alternate Exterior Angle Theorem.
∠4 is supplementary to ∠1 and ∠4 supplementary to ∠3 by the Linear Pair Postulate.
∠4 is supplementary to ∠5 because ∠4 ≅ ∠2 (explained above) and ∠2 supplementary to ∠5 by the Same-Side Interior Angle Theorem.
∠4 is supplementary to ∠7 by the Same-Side Exterior Angle Theorem.
