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Identify pairs of alternate angles, alternate exterior angles, and consecutive interior angles.

Mathematics

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Here are the solutions to question 3:

a) One pair of alternate angles is ∠AMN\angle AMN and ∠MND\angle MND.
Another pair is ∠BMN\angle BMN and ∠MNC\angle MNC.
Another pair of alternate exterior angles is ∠AME\angle AME and ∠DNF\angle DNF.
Another pair is ∠BME\angle BME and ∠CNF\angle CNF.

a) Answer: ∠AMN and ∠MND\boxed{\angle AMN \text{ and } \angle MND}

b) ∠BMN\angle BMN and ∠MND\angle MND are consecutive interior angles (also known as co-interior angles). If the lines AB and CD are parallel, these angles are supplementary (add up to 180∘180^\circ), but

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