Amy's claim is correct because each pair of the angles are supplementary. That is, sum up to 180°
<h3>Calculating angles </h3>
From the question, we are to determine if Amy's claims are correct
From the given information,
Amy claims that
m∠4 + m∠5 = m∠10 + m∠9
In the diagram, we can observe that
m∠4 + m∠5 = 180°
This is because the pair of interior angles on the same side of the transversal are supplementary. That is, sum up to 180°
Also,
m∠10 + m∠9 = 180° (<em>Sum of angles on a straight line</em>)
Since each pair of angles are supplementary,
∴ m∠4 + m∠5 = m∠10 + m∠9
and
Hence, Amy's claim is correct
Learn more on Calculating angles here: brainly.com/question/24607467
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