Question

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

Answer 1

Answer:

see below

Step-by-step explanation:

∠1 = 61°

∠2 = 119°

∠3 = 61°

∠4 = 119°

∠5 = 119°

∠6 = 61°

∠7 = 119°

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∠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