Question

The fences will be aligned with the exterior angles angle1 and angle2 What are some other relationships you can see between angle1 , , and angle b?

Answer 1

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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