If ∠=°, what is the measure of each of the other angles?

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.