Use the figure to find the measures of the numbered angles. Then, explain how you determined each of the numbered angle measures.

Answer:
see below
Step-by-step explanation:
∠1 = 61°
∠2 = 119°
∠3 = 61°
∠4 = 119°
∠5 = 119°
∠6 = 61°
∠7 = 119°
-------------------------------
∠1 = 61° = as given
∠2 = 119° = ( 180 - 61 ) = 119°
∠3 ≅ ∠1 opposite angles are equal (congruent)
∠4 ≅ ∠2 opposite angles are equal (congruent)
∠5 ≅ ∠2 or parallel
∠6 ≅ ∠3 ≅ ∠1
∠7 ≅ ∠5