The eight angles formed between parallel lines include angles with congruent and supplementary relationships
Question; Please find attached the drawing of a representation of the fences in the question
The relationships between ∠1, ∠2, ∠a, and ∠b, are;
- ∠1 and ∠a are linear pair angles, therefore, m∠1 + m∠a = 180°
- ∠1 and ∠a are supplementary angles
- ∠1 and ∠b are corresponding angles, therefore, m∠1 = m∠b
- ∠1 and ∠2 are same side exterior angles, therefore, m∠1 + m∠2 = 180°
- ∠a and ∠b are same side interior angles, therefore m∠a + m∠b = 180°
- ∠a and ∠2 are corresponding angles, therefore, m∠a = m∠2
- ∠b and ∠2 are linear pair angles, therefore, m∠b + m∠2 = 180°
- ∠b and ∠2 are supplementary angles
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