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In the figure shown, lines k and l are parallel.

image




Amy claims that
m
∠
4
+
m
∠
5
=
m
∠
10
+
m
∠
9
.

Is Amy correct? Use appropriate mathematical language to justify your response.

Enter your answer and your justification in the space provided.

PLSS HELP

In the figure shown, lines k and l are parallel. image Amy claims that m ∠ 4 + m ∠ 5 = m ∠ 10 + m ∠ 9 . Is Amy correct? Use appropriate mathematical language to class=

Answer :

Amy's claim is correct because each pair of the angles are supplementary. That is, sum up to 180°

Calculating angles

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° (Sum of angles on a straight line)

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: https://brainly.com/question/24607467

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